131572154016 has 144 divisors (see below), whose sum is σ = 386046984960. Its totient is φ = 42484815360.

The previous prime is 131572154003. The next prime is 131572154017. The reversal of 131572154016 is 610451275131.

131572154016 is a `hidden beast` number, since 1 + 31 + 5 + 7 + 215 + 401 + 6 = 666.

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

It is a super-2 number, since 2×131572154016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131572154017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151301 + ... + 1260411.

It is an arithmetic number, because the mean of its divisors is an integer number (2680881840).

Almost surely, 2^131572154016 is an apocalyptic number.

131572154016 is a gapful number since it is divisible by the number (16) 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 131572154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193023492480).

131572154016 is an abundant number, since it is smaller than the sum of its proper divisors (254474830944).

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

131572154016 is a wasteful number, since it uses less digits than its factorization.

131572154016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109259 (or 109248 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 131572154016 in words is "one hundred thirty-one billion, five hundred seventy-two million, one hundred fifty-four thousand, sixteen".