145637749390400 has 42 divisors (see below), whose sum is σ = 358359887097690. Its totient is φ = 58255099755520.

The previous prime is 145637749390391. The next prime is 145637749390411. The reversal of 145637749390400 is 4093947736541.

It can be written as a sum of positive squares in 3 ways, for example, as 4459057275904 + 141178692114496 = 2111648^2 + 11881864^2 .

It is a super-2 number, since 2×145637749390400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45511795085 + ... + 45511798284.

Almost surely, 2^{145637749390400} is an apocalyptic number.

145637749390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145637749390400 is an abundant number, since it is smaller than the sum of its proper divisors (212722137707290).

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

145637749390400 is an equidigital number, since it uses as much as digits as its factorization.

145637749390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91023593391 (or 91023593376 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 62.

The spelling of 145637749390400 in words is "one hundred forty-five trillion, six hundred thirty-seven billion, seven hundred forty-nine million, three hundred ninety thousand, four hundred".