131478562152 has 512 divisors, whose sum is σ = 447963955200. Its totient is φ = 34918760448.

The previous prime is 131478562151. The next prime is 131478562181. The reversal of 131478562152 is 251265874131.

131478562152 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 78 + 562 + 15 + 2 = 666.

It is a super-2 number, since 2×131478562152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131478562098 and 131478562107.

It is not an unprimeable number, because it can be changed into a prime (131478562151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420059148 + ... + 420059460.

It is an arithmetic number, because the mean of its divisors is an integer number (874929600).

Almost surely, 2^131478562152 is an apocalyptic number.

131478562152 is a gapful number since it is divisible by the number (12) 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 131478562152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223981977600).

131478562152 is an abundant number, since it is smaller than the sum of its proper divisors (316485393048).

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

131478562152 is a wasteful number, since it uses less digits than its factorization.

131478562152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 131478562152 in words is "one hundred thirty-one billion, four hundred seventy-eight million, five hundred sixty-two thousand, one hundred fifty-two".