152853974532000 has 6912 divisors, whose sum is σ = 737630240256000. Its totient is φ = 30579462144000.

The previous prime is 152853974531989. The next prime is 152853974532023. The reversal of 152853974532000 is 235479358251.

152853974532000 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 5 + 39 + 74 + 532 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1717460387956 + ... + 1717460388044.

It is an arithmetic number, because the mean of its divisors is an integer number (106717338000).

Almost surely, 2^{152853974532000} is an apocalyptic number.

152853974532000 is a gapful number since it is divisible by the number (10) 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 152853974532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368815120128000).

152853974532000 is an abundant number, since it is smaller than the sum of its proper divisors (584776265724000).

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

152853974532000 is a wasteful number, since it uses less digits than its factorization.

152853974532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 152853974532000 in words is "one hundred fifty-two trillion, eight hundred fifty-three billion, nine hundred seventy-four million, five hundred thirty-two thousand".