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131960504052 = 2233131313372129
BaseRepresentation
bin111101011100101110…
…1010111111011110100
3110121121112222011121000
41322321131113323310
54130223342112202
6140342151323300
712351050530416
oct1727135277364
9417545864530
10131960504052
1150a6729a913
12216a9380530
13c5a01008c0
14655ba029b6
15367502391c
hex1eb9757ef4

131960504052 has 192 divisors, whose sum is σ = 372525753600. Its totient is φ = 40154849280.

The previous prime is 131960504041. The next prime is 131960504057. The reversal of 131960504052 is 250405069131.

131960504052 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 605 + 0 + 40 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131960503998 and 131960504016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131960504057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61981324 + ... + 61983452.

It is an arithmetic number, because the mean of its divisors is an integer number (1940238300).

Almost surely, 2131960504052 is an apocalyptic number.

131960504052 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 131960504052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186262876800).

131960504052 is an abundant number, since it is smaller than the sum of its proper divisors (240565249548).

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

131960504052 is a wasteful number, since it uses less digits than its factorization.

131960504052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 131960504052 in words is "one hundred thirty-one billion, nine hundred sixty million, five hundred four thousand, fifty-two".