126902160 has 480 divisors, whose sum is σ = 559785600. Its totient is φ = 26127360.

The previous prime is 126902137. The next prime is 126902207. The reversal of 126902160 is 61209621.

It is a super-2 number, since 2×126902160² = 32208316425331200, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 1164186 + ... + 1164294.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^126902160 is an apocalyptic number.

126902160 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 126902160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279892800).

126902160 is an abundant number, since it is smaller than the sum of its proper divisors (432883440).

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

126902160 is a wasteful number, since it uses less digits than its factorization.

126902160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 126902160 is about 11265.0858851586. The cubic root of 126902160 is about 502.5234562452.

The spelling of 126902160 in words is "one hundred twenty-six million, nine hundred two thousand, one hundred sixty".