152036005972480 has 160 divisors (see below), whose sum is σ = 419161677542784. Its totient is φ = 51806834343936.

The previous prime is 152036005972393. The next prime is 152036005972481. The reversal of 152036005972480 is 84279500630251.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-5 number, since 5×152036005972480⁵ (a number of 72 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (152036005972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23104047 + ... + 28945966.

It is a 1-persistent number, because it is pandigital, but 2⋅152036005972480 = 304072011944960 is not.

Almost surely, 2^{152036005972480} is an apocalyptic number.

152036005972480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152036005972480 is an abundant number, since it is smaller than the sum of its proper divisors (267125671570304).

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

152036005972480 is an equidigital number, since it uses as much as digits as its factorization.

152036005972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52050206 (or 52050190 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 152036005972480 in words is "one hundred fifty-two trillion, thirty-six billion, five million, nine hundred seventy-two thousand, four hundred eighty".