145291192956 has 576 divisors, whose sum is σ = 480104841216. Its totient is φ = 36027763200.

The previous prime is 145291192933. The next prime is 145291192961. The reversal of 145291192956 is 659291192541.

It is a happy number.

145291192956 is a `hidden beast` number, since 1 + 452 + 9 + 11 + 92 + 95 + 6 = 666.

It is a super-2 number, since 2×145291192956² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891356931 + ... + 891357093.

Almost surely, 2^145291192956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145291192956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240052420608).

145291192956 is an abundant number, since it is smaller than the sum of its proper divisors (334813648260).

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

145291192956 is a wasteful number, since it uses less digits than its factorization.

145291192956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 145291192956 in words is "one hundred forty-five billion, two hundred ninety-one million, one hundred ninety-two thousand, nine hundred fifty-six".