152945634816 has 480 divisors, whose sum is σ = 508654194048. Its totient is φ = 43823923200.

The previous prime is 152945634791. The next prime is 152945634827. The reversal of 152945634816 is 618436549251.

152945634816 is a `hidden beast` number, since 1 + 5 + 29 + 4 + 563 + 48 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102854425 + ... + 102855911.

Almost surely, 2^152945634816 is an apocalyptic number.

152945634816 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 152945634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254327097024).

152945634816 is an abundant number, since it is smaller than the sum of its proper divisors (355708559232).

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

152945634816 is a wasteful number, since it uses less digits than its factorization.

152945634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1623 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 152945634816 in words is "one hundred fifty-two billion, nine hundred forty-five million, six hundred thirty-four thousand, eight hundred sixteen".