145972560132 has 168 divisors, whose sum is σ = 438053414400. Its totient is φ = 41674445568.

The previous prime is 145972560119. The next prime is 145972560133. The reversal of 145972560132 is 231065279541.

145972560132 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 7 + 2 + 5 + 601 + 32 = 666.

It is a super-2 number, since 2×145972560132² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145972560133) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 43455469 + ... + 43458827.

It is an arithmetic number, because the mean of its divisors is an integer number (2607460800).

Almost surely, 2^145972560132 is an apocalyptic number.

145972560132 is a gapful number since it is divisible by the number (12) 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 145972560132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219026707200).

145972560132 is an abundant number, since it is smaller than the sum of its proper divisors (292080854268).

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

145972560132 is a wasteful number, since it uses less digits than its factorization.

145972560132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 145972560132 in words is "one hundred forty-five billion, nine hundred seventy-two million, five hundred sixty thousand, one hundred thirty-two".