145153920 has 256 divisors, whose sum is σ = 511142400. Its totient is φ = 34873344.

The previous prime is 145153913. The next prime is 145153933. The reversal of 145153920 is 29351541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 838954 + ... + 839126.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 2^145153920 is an apocalyptic number.

145153920 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 145153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255571200).

145153920 is an abundant number, since it is smaller than the sum of its proper divisors (365988480).

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

145153920 is a wasteful number, since it uses less digits than its factorization.

145153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 145153920 is about 12047.9840637345. The cubic root of 145153920 is about 525.5446139822.

The spelling of 145153920 in words is "one hundred forty-five million, one hundred fifty-three thousand, nine hundred twenty".