125536121700 has 288 divisors, whose sum is σ = 422821271040. Its totient is φ = 28435276800.

The previous prime is 125536121677. The next prime is 125536121723. The reversal of 125536121700 is 7121635521.

It is an interprime number because it is at equal distance from previous prime (125536121677) and next prime (125536121723).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4563387 + ... + 4590813.

Almost surely, 2^125536121700 is an apocalyptic number.

125536121700 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 125536121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211410635520).

125536121700 is an abundant number, since it is smaller than the sum of its proper divisors (297285149340).

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

125536121700 is a wasteful number, since it uses less digits than its factorization.

125536121700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27547 (or 27540 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 125536121700 in words is "one hundred twenty-five billion, five hundred thirty-six million, one hundred twenty-one thousand, seven hundred".