130977792 has 312 divisors, whose sum is σ = 460006560. Its totient is φ = 35389440.

The previous prime is 130977761. The next prime is 130977793. The reversal of 130977792 is 297779031.

It is not an unprimeable number, because it can be changed into a prime (130977793) 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, 6893559 + ... + 6893577.

It is an arithmetic number, because the mean of its divisors is an integer number (1474380).

Almost surely, 2^130977792 is an apocalyptic number.

130977792 is a gapful number since it is divisible by the number (12) 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 130977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230003280).

130977792 is an abundant number, since it is smaller than the sum of its proper divisors (329028768).

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

130977792 is a wasteful number, since it uses less digits than its factorization.

130977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 130977792 is about 11444.5529401545. The cubic root of 130977792 is about 507.8466067134.

It can be divided in two parts, 130977 and 792, that added together give a square (131769 = 363²).

The spelling of 130977792 in words is "one hundred thirty million, nine hundred seventy-seven thousand, seven hundred ninety-two".