145260000 has 240 divisors, whose sum is σ = 531392400. Its totient is φ = 38592000.

The previous prime is 145259993. The next prime is 145260029. The reversal of 145260000 is 62541.

It is a happy number.

145260000 is a `hidden beast` number, since 14 + 52 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145260000² = 42200935200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539866 + ... + 540134.

It is an arithmetic number, because the mean of its divisors is an integer number (2214135).

Almost surely, 2^145260000 is an apocalyptic number.

145260000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265696200).

145260000 is an abundant number, since it is smaller than the sum of its proper divisors (386132400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145260000 is an equidigital number, since it uses as much as digits as its factorization.

145260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145260000 is about 12052.3856559604. The cubic root of 145260000 is about 525.6726073044.

The spelling of 145260000 in words is "one hundred forty-five million, two hundred sixty thousand".