145901157264 has 90 divisors (see below), whose sum is σ = 421917523638. Its totient is φ = 47064844800.

The previous prime is 145901157211. The next prime is 145901157319. The reversal of 145901157264 is 462751109541.

145901157264 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 0 + 11 + 572 + 64 = 666.

145901157264 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102348806400 + 43552350864 = 319920^2 + 208692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388777 + ... + 665544.

Almost surely, 2^145901157264 is an apocalyptic number.

It is an amenable number.

145901157264 is an abundant number, since it is smaller than the sum of its proper divisors (276016366374).

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

145901157264 is a wasteful number, since it uses less digits than its factorization.

145901157264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054397 (or 1054357 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 145901157264 in words is "one hundred forty-five billion, nine hundred one million, one hundred fifty-seven thousand, two hundred sixty-four".