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131397336 = 2333743247
BaseRepresentation
bin1111101010011…
…11011011011000
3100011020200021000
413311033123120
5232114203321
621012145000
73153600420
oct765173330
9304220230
10131397336
1168196844
1238008160
13212b7805
1413645480
15b807826
hex7d4f6d8

131397336 has 192 divisors, whose sum is σ = 436147200. Its totient is φ = 35888832.

The previous prime is 131397319. The next prime is 131397341. The reversal of 131397336 is 633793131.

131397336 is a `hidden beast` number, since 1 + 313 + 9 + 7 + 336 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131397336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795665 + ... + 2795711.

It is an arithmetic number, because the mean of its divisors is an integer number (2271600).

Almost surely, 2131397336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131397336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218073600).

131397336 is an abundant number, since it is smaller than the sum of its proper divisors (304749864).

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

131397336 is a wasteful number, since it uses less digits than its factorization.

131397336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 131397336 is about 11462.8677040259. The cubic root of 131397336 is about 508.3882682784.

The spelling of 131397336 in words is "one hundred thirty-one million, three hundred ninety-seven thousand, three hundred thirty-six".