130157749800 has 1152 divisors, whose sum is σ = 522079084800. Its totient is φ = 30067614720.

The previous prime is 130157749789. The next prime is 130157749811. The reversal of 130157749800 is 8947751031.

130157749800 is a `hidden beast` number, since 1 + 3 + 0 + 157 + 7 + 498 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130157749789) and next prime (130157749811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2455806574 + ... + 2455806626.

It is an arithmetic number, because the mean of its divisors is an integer number (453193650).

Almost surely, 2^130157749800 is an apocalyptic number.

130157749800 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 130157749800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261039542400).

130157749800 is an abundant number, since it is smaller than the sum of its proper divisors (391921335000).

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

130157749800 is a wasteful number, since it uses less digits than its factorization.

130157749800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 130157749800 in words is "one hundred thirty billion, one hundred fifty-seven million, seven hundred forty-nine thousand, eight hundred".