130437314040 has 128 divisors (see below), whose sum is σ = 427000792320. Its totient is φ = 31612646400.

The previous prime is 130437314027. The next prime is 130437314053. The reversal of 130437314040 is 40413734031.

It is an interprime number because it is at equal distance from previous prime (130437314027) and next prime (130437314053).

It is a super-2 number, since 2×130437314040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130437313989 and 130437314007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5872155 + ... + 5894325.

It is an arithmetic number, because the mean of its divisors is an integer number (3335943690).

Almost surely, 2^130437314040 is an apocalyptic number.

130437314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130437314040 is an abundant number, since it is smaller than the sum of its proper divisors (296563478280).

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

130437314040 is a wasteful number, since it uses less digits than its factorization.

130437314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653 (or 26649 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 130437314040 in words is "one hundred thirty billion, four hundred thirty-seven million, three hundred fourteen thousand, forty".