1157625000 has 448 divisors, whose sum is σ = 4687440000. Its totient is φ = 264600000.

The previous prime is 1157624977. The next prime is 1157625019. The reversal of 1157625000 is 5267511.

The cubic root of 1157625000 is 1050.

It is a perfect power (a cube), and thus also a powerful number.

1157625000 is a `hidden beast` number, since 1 + 157 + 6 + 2 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 165374997 + ... + 165375003.

Almost surely, 2^1157625000 is an apocalyptic number.

1157625000 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 1157625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343720000).

1157625000 is an abundant number, since it is smaller than the sum of its proper divisors (3529815000).

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

1157625000 is an frugal number, since it uses more digits than its factorization.

1157625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1157625000 is about 34023.8886666413. Note that the first 3 decimals coincide.

Multiplying 1157625000 by its sum of digits (27), we get a cube (31255875000 = 3150³).

1157625000 divided by its sum of digits (27) gives a cube (42875000 = 350³).

The spelling of 1157625000 in words is "one billion, one hundred fifty-seven million, six hundred twenty-five thousand".