1285921152 has 96 divisors (see below), whose sum is σ = 3729056760. Its totient is φ = 425318400.

The previous prime is 1285921111. The next prime is 1285921163. The reversal of 1285921152 is 2511295821.

1285921152 is a `hidden beast` number, since 1 + 2 + 8 + 592 + 11 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1285921152² = 3307186418322014208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146652 + ... + 155172.

Almost surely, 2^1285921152 is an apocalyptic number.

1285921152 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 1285921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864528380).

1285921152 is an abundant number, since it is smaller than the sum of its proper divisors (2443135608).

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

1285921152 is a wasteful number, since it uses less digits than its factorization.

1285921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8657 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 1285921152 is about 35859.7427765454. The cubic root of 1285921152 is about 1087.4386882596.

The spelling of 1285921152 in words is "one billion, two hundred eighty-five million, nine hundred twenty-one thousand, one hundred fifty-two".