130744800 has 144 divisors (see below), whose sum is σ = 472938480. Its totient is φ = 34859520.

The previous prime is 130744787. The next prime is 130744813. The reversal of 130744800 is 8447031.

130744800 = T₁₂₃ + T₁₂₄ + ... + T₉₂₂.

It is an interprime number because it is at equal distance from previous prime (130744787) and next prime (130744813).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18574 + ... + 24626.

It is an arithmetic number, because the mean of its divisors is an integer number (3284295).

Almost surely, 2^130744800 is an apocalyptic number.

130744800 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 130744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236469240).

130744800 is an abundant number, since it is smaller than the sum of its proper divisors (342193680).

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

130744800 is a wasteful number, since it uses less digits than its factorization.

130744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130744800 is about 11434.3692436444. The cubic root of 130744800 is about 507.5452975495.

The spelling of 130744800 in words is "one hundred thirty million, seven hundred forty-four thousand, eight hundred".