145413602656 has 144 divisors (see below), whose sum is σ = 347638677120. Its totient is φ = 59630376960.

The previous prime is 145413602629. The next prime is 145413602699. The reversal of 145413602656 is 656206314541.

It is a super-2 number, since 2×145413602656² (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 23 ways as a sum of consecutive naturals, for example, 4309306 + ... + 4342918.

It is an arithmetic number, because the mean of its divisors is an integer number (2414157480).

Almost surely, 2^145413602656 is an apocalyptic number.

145413602656 is a gapful number since it is divisible by the number (16) 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 145413602656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173819338560).

145413602656 is an abundant number, since it is smaller than the sum of its proper divisors (202225074464).

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

145413602656 is a wasteful number, since it uses less digits than its factorization.

145413602656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33757 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 145413602656 in words is "one hundred forty-five billion, four hundred thirteen million, six hundred two thousand, six hundred fifty-six".