142257105900 has 1152 divisors, whose sum is σ = 612227481600. Its totient is φ = 27489715200.

The previous prime is 142257105899. The next prime is 142257105937. The reversal of 142257105900 is 9501752241.

142257105900 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 57 + 10 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144716809 + ... + 144717791.

Almost surely, 2^142257105900 is an apocalyptic number.

142257105900 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 142257105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306113740800).

142257105900 is an abundant number, since it is smaller than the sum of its proper divisors (469970375700).

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

142257105900 is a wasteful number, since it uses less digits than its factorization.

142257105900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 142257105900 in words is "one hundred forty-two billion, two hundred fifty-seven million, one hundred five thousand, nine hundred".