36725157000 has 960 divisors, whose sum is σ = 157516444800. Its totient is φ = 7936185600.

The previous prime is 36725156989. The next prime is 36725157031. The reversal of 36725157000 is 75152763.

36725157000 is a `hidden beast` number, since 3 + 6 + 72 + 515 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75410757 + ... + 75411243.

It is an arithmetic number, because the mean of its divisors is an integer number (164079630).

Almost surely, 2^36725157000 is an apocalyptic number.

36725157000 is a gapful number since it is divisible by the number (30) 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 36725157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78758222400).

36725157000 is an abundant number, since it is smaller than the sum of its proper divisors (120791287800).

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

36725157000 is a wasteful number, since it uses less digits than its factorization.

36725157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 36725157000 in words is "thirty-six billion, seven hundred twenty-five million, one hundred fifty-seven thousand".