130754400 has 288 divisors, whose sum is σ = 500467968. Its totient is φ = 29030400.

The previous prime is 130754399. The next prime is 130754543. The reversal of 130754400 is 4457031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722310 + ... + 722490.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^130754400 is an apocalyptic number.

130754400 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 130754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984).

130754400 is an abundant number, since it is smaller than the sum of its proper divisors (369713568).

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

130754400 is a wasteful number, since it uses less digits than its factorization.

130754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 130754400 is about 11434.7890229772. The cubic root of 130754400 is about 507.5577194982.

The spelling of 130754400 in words is "one hundred thirty million, seven hundred fifty-four thousand, four hundred".