130994501702400 has 3240 divisors, whose sum is σ = 585411286998384. Its totient is φ = 28794440908800.

The previous prime is 130994501702387. The next prime is 130994501702413. The reversal of 130994501702400 is 4207105499031.

130994501702400 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 450 + 170 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130994501702387) and next prime (130994501702413).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 76026987939 + ... + 76026989661.

Almost surely, 2^{130994501702400} is an apocalyptic number.

130994501702400 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 130994501702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292705643499192).

130994501702400 is an abundant number, since it is smaller than the sum of its proper divisors (454416785295984).

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

130994501702400 is a wasteful number, since it uses less digits than its factorization.

130994501702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 130994501702400 in words is "one hundred thirty trillion, nine hundred ninety-four billion, five hundred one million, seven hundred two thousand, four hundred".