126152100 has 72 divisors (see below), whose sum is σ = 405564320. Its totient is φ = 33639840.

The previous prime is 126152093. The next prime is 126152107. The reversal of 126152100 is 1251621.

It is an interprime number because it is at equal distance from previous prime (126152093) and next prime (126152107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (126152107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20662 + ... + 26061.

Almost surely, 2^126152100 is an apocalyptic number.

126152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126152100 is an abundant number, since it is smaller than the sum of its proper divisors (279412220).

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

126152100 is a wasteful number, since it uses less digits than its factorization.

126152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46746 (or 46733 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 126152100 is about 11231.7451894174. The cubic root of 126152100 is about 501.5314379401.

It can be divided in two parts, 1261 and 52100, that added together give a square (53361 = 231²).

The spelling of 126152100 in words is "one hundred twenty-six million, one hundred fifty-two thousand, one hundred".