152874849688704 has 3072 divisors, whose sum is σ = 567022508236800. Its totient is φ = 40236134400000.

The previous prime is 152874849688699. The next prime is 152874849688723. The reversal of 152874849688704 is 407886948478251.

152874849688704 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 7 + 48 + 496 + 8 + 87 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1012416223029 + ... + 1012416223179.

It is an arithmetic number, because the mean of its divisors is an integer number (184577639400).

Almost surely, 2^{152874849688704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152874849688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283511254118400).

152874849688704 is an abundant number, since it is smaller than the sum of its proper divisors (414147658548096).

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

152874849688704 is a wasteful number, since it uses less digits than its factorization.

152874849688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6936330240, while the sum is 81.

The spelling of 152874849688704 in words is "one hundred fifty-two trillion, eight hundred seventy-four billion, eight hundred forty-nine million, six hundred eighty-eight thousand, seven hundred four".