130762464 has 96 divisors (see below), whose sum is σ = 405006336. Its totient is φ = 36149760.

The previous prime is 130762417. The next prime is 130762469. The reversal of 130762464 is 464267031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130762469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694 + ... + 23970.

It is an arithmetic number, because the mean of its divisors is an integer number (4218816).

Almost surely, 2^130762464 is an apocalyptic number.

130762464 is a gapful number since it is divisible by the number (14) 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 130762464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202503168).

130762464 is an abundant number, since it is smaller than the sum of its proper divisors (274243872).

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

130762464 is a wasteful number, since it uses less digits than its factorization.

130762464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 130762464 is about 11435.1416257080. The cubic root of 130762464 is about 507.5681534653.

The spelling of 130762464 in words is "one hundred thirty million, seven hundred sixty-two thousand, four hundred sixty-four".