145511520 has 384 divisors, whose sum is σ = 594542592. Its totient is φ = 29030400.

The previous prime is 145511459. The next prime is 145511521. The reversal of 145511520 is 25115541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145511521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145697 + ... + 1145823.

It is an arithmetic number, because the mean of its divisors is an integer number (1548288).

Almost surely, 2^145511520 is an apocalyptic number.

145511520 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 145511520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297271296).

145511520 is an abundant number, since it is smaller than the sum of its proper divisors (449031072).

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

145511520 is a wasteful number, since it uses less digits than its factorization.

145511520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 145511520 is about 12062.8155917265. The cubic root of 145511520 is about 525.9758358496.

The spelling of 145511520 in words is "one hundred forty-five million, five hundred eleven thousand, five hundred twenty".