152729175040 has 528 divisors, whose sum is σ = 433562755248. Its totient is φ = 51130662912.

The previous prime is 152729175031. The next prime is 152729175043. The reversal of 152729175040 is 40571927251.

It can be written as a sum of positive squares in 8 ways, for example, as 1090584576 + 151638590464 = 33024^2 + 389408^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (152729175043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2092180444 + ... + 2092180516.

Almost surely, 2^152729175040 is an apocalyptic number.

152729175040 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 152729175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216781377624).

152729175040 is an abundant number, since it is smaller than the sum of its proper divisors (280833580208).

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

152729175040 is a wasteful number, since it uses less digits than its factorization.

152729175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 152729175040 in words is "one hundred fifty-two billion, seven hundred twenty-nine million, one hundred seventy-five thousand, forty".