131529411505152 has 176 divisors, whose sum is σ = 389884922552320. Its totient is φ = 43802793086976.

The previous prime is 131529411505103. The next prime is 131529411505159. The reversal of 131529411505152 is 251505114925131.

It is a happy number.

131529411505152 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 94 + 1 + 1 + 505 + 1 + 52 = 666.

It is a super-2 number, since 2×131529411505152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131529411505098 and 131529411505107.

It is not an unprimeable number, because it can be changed into a prime (131529411505159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27865113 + ... + 32241639.

Almost surely, 2^{131529411505152} is an apocalyptic number.

131529411505152 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 131529411505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194942461276160).

131529411505152 is an abundant number, since it is smaller than the sum of its proper divisors (258355511047168).

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

131529411505152 is a wasteful number, since it uses less digits than its factorization.

131529411505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377643 (or 4377619 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 131529411505152 in words is "one hundred thirty-one trillion, five hundred twenty-nine billion, four hundred eleven million, five hundred five thousand, one hundred fifty-two".