152971329301504 has 1056 divisors, whose sum is σ = 396379770575040. Its totient is φ = 58754928476160.

The previous prime is 152971329301499. The next prime is 152971329301543. The reversal of 152971329301504 is 405103923179251.

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 95 ways as a sum of consecutive naturals, for example, 522086447982 + ... + 522086448274.

Almost surely, 2^{152971329301504} is an apocalyptic number.

152971329301504 is a gapful number since it is divisible by the number (14) 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 152971329301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198189885287520).

152971329301504 is an abundant number, since it is smaller than the sum of its proper divisors (243408441273536).

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

152971329301504 is an equidigital number, since it uses as much as digits as its factorization.

152971329301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 152971329301504 in words is "one hundred fifty-two trillion, nine hundred seventy-one billion, three hundred twenty-nine million, three hundred one thousand, five hundred four".