152347780210752 has 168 divisors, whose sum is σ = 520996589927520. Its totient is φ = 43527937178880.

The previous prime is 152347780210741. The next prime is 152347780210771. The reversal of 152347780210752 is 257012087743251.

152347780210752 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 477 + 80 + 21 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×152347780210752² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 899550274 + ... + 899719617.

It is an arithmetic number, because the mean of its divisors is an integer number (3101170178140).

Almost surely, 2^{152347780210752} is an apocalyptic number.

152347780210752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152347780210752 is an abundant number, since it is smaller than the sum of its proper divisors (368648809716768).

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

152347780210752 is a wasteful number, since it uses less digits than its factorization.

152347780210752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799269926 (or 1799269903 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 152347780210752 in words is "one hundred fifty-two trillion, three hundred forty-seven billion, seven hundred eighty million, two hundred ten thousand, seven hundred fifty-two".