902125952 has 128 divisors (see below), whose sum is σ = 2267092800. Its totient is φ = 347996160.

The previous prime is 902125937. The next prime is 902125963. The reversal of 902125952 is 259521209.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476624 + ... + 478512.

Almost surely, 2^902125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133546400).

902125952 is an abundant number, since it is smaller than the sum of its proper divisors (1364966848).

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

902125952 is a wasteful number, since it uses less digits than its factorization.

902125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 902125952 is about 30035.4116336034. The cubic root of 902125952 is about 966.2490031324.

The spelling of 902125952 in words is "nine hundred two million, one hundred twenty-five thousand, nine hundred fifty-two".