126142920 has 80 divisors (see below), whose sum is σ = 423991260. Its totient is φ = 33637248.

The previous prime is 126142903. The next prime is 126142927. The reversal of 126142920 is 29241621.

126142920 is a `hidden beast` number, since 1 + 2 + 614 + 29 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102697956 + 23444964 = 10134^2 + 4842^2 .

It is a super-2 number, since 2×126142920² = 31824072532252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126142927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16227 + ... + 22706.

Almost surely, 2^126142920 is an apocalyptic number.

126142920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126142920 is an abundant number, since it is smaller than the sum of its proper divisors (297848340).

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

126142920 is a wasteful number, since it uses less digits than its factorization.

126142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38956 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126142920 is about 11231.3365188654. The cubic root of 126142920 is about 501.5192722811.

The spelling of 126142920 in words is "one hundred twenty-six million, one hundred forty-two thousand, nine hundred twenty".