131770466150400 has 9216 divisors, whose sum is σ = 690723790848000. Its totient is φ = 24078974976000.

The previous prime is 131770466150377. The next prime is 131770466150419. The reversal of 131770466150400 is 4051664077131.

It is a happy number.

131770466150400 is a `hidden beast` number, since 1 + 3 + 17 + 70 + 4 + 6 + 61 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

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 767 ways as a sum of consecutive naturals, for example, 4250660198385 + ... + 4250660198415.

It is an arithmetic number, because the mean of its divisors is an integer number (74948328000).

Almost surely, 2^{131770466150400} is an apocalyptic number.

131770466150400 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 131770466150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345361895424000).

131770466150400 is an abundant number, since it is smaller than the sum of its proper divisors (558953324697600).

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

131770466150400 is a wasteful number, since it uses less digits than its factorization.

131770466150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 131770466150400 in words is "one hundred thirty-one trillion, seven hundred seventy billion, four hundred sixty-six million, one hundred fifty thousand, four hundred".