1137525000 has 192 divisors, whose sum is σ = 3684139200. Its totient is φ = 292320000.

The previous prime is 1137524963. The next prime is 1137525013. The reversal of 1137525000 is 5257311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174739 + ... + 2175261.

It is an arithmetic number, because the mean of its divisors is an integer number (19188225).

Almost surely, 2^1137525000 is an apocalyptic number.

1137525000 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 1137525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842069600).

1137525000 is an abundant number, since it is smaller than the sum of its proper divisors (2546614200).

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

1137525000 is an equidigital number, since it uses as much as digits as its factorization.

1137525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1137525000 is about 33727.2145307021. The cubic root of 1137525000 is about 1043.8873867463.

The spelling of 1137525000 in words is "one billion, one hundred thirty-seven million, five hundred twenty-five thousand".