1137101952 has 128 divisors (see below), whose sum is σ = 3484483200. Its totient is φ = 321822720.

The previous prime is 1137101939. The next prime is 1137101969. The reversal of 1137101952 is 2591017311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291052 + ... + 294932.

It is an arithmetic number, because the mean of its divisors is an integer number (27222525).

Almost surely, 2^1137101952 is an apocalyptic number.

1137101952 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 1137101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742241600).

1137101952 is an abundant number, since it is smaller than the sum of its proper divisors (2347381248).

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

1137101952 is a wasteful number, since it uses less digits than its factorization.

1137101952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 1137101952 is about 33720.9423355872. The cubic root of 1137101952 is about 1043.7579627107.

The spelling of 1137101952 in words is "one billion, one hundred thirty-seven million, one hundred one thousand, nine hundred fifty-two".