152675349795072 has 432 divisors, whose sum is σ = 501290196266496. Its totient is φ = 44352811008000.

The previous prime is 152675349795047. The next prime is 152675349795097. The reversal of 152675349795072 is 270597943576251.

152675349795072 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 7 + 5 + 3 + 49 + 79 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152675349795047) and next prime (152675349795097).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36063747 + ... + 40074237.

Almost surely, 2^{152675349795072} is an apocalyptic number.

152675349795072 is a gapful number since it is divisible by the number (12) 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 152675349795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250645098133248).

152675349795072 is an abundant number, since it is smaller than the sum of its proper divisors (348614846471424).

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

152675349795072 is a wasteful number, since it uses less digits than its factorization.

152675349795072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010598 (or 4010581 counting only the distinct ones).

The product of its (nonzero) digits is 1000188000, while the sum is 72.

The spelling of 152675349795072 in words is "one hundred fifty-two trillion, six hundred seventy-five billion, three hundred forty-nine million, seven hundred ninety-five thousand, seventy-two".