145927526400 has 864 divisors, whose sum is σ = 558377230320. Its totient is φ = 37742837760.

The previous prime is 145927526399. The next prime is 145927526411. The reversal of 145927526400 is 4625729541.

145927526400 is a `hidden beast` number, since 1 + 4 + 592 + 7 + 52 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×145927526400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 460339042 + ... + 460339358.

Almost surely, 2^145927526400 is an apocalyptic number.

145927526400 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 145927526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279188615160).

145927526400 is an abundant number, since it is smaller than the sum of its proper divisors (412449703920).

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

145927526400 is an equidigital number, since it uses as much as digits as its factorization.

145927526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 145927526400 in words is "one hundred forty-five billion, nine hundred twenty-seven million, five hundred twenty-six thousand, four hundred".