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137325310816 = 2531138432773
BaseRepresentation
bin111111111100100111…
…0011111001101100000
3111010110102210120221211
41333321032133031200
54222220234421231
6143030353555504
712631022611441
oct1777116371540
9433412716854
10137325310816
115326a615611
1222745b75b94
13cc466cb085
14690a3072c8
15388aedaeb1
hex1ff939f360

137325310816 has 24 divisors (see below), whose sum is σ = 279080472384. Its totient is φ = 66447730560.

The previous prime is 137325310807. The next prime is 137325310831. The reversal of 137325310816 is 618013523731.

It is a happy number.

It is a super-2 number, since 2×1373253108162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69215395 + ... + 69217378.

It is an arithmetic number, because the mean of its divisors is an integer number (11628353016).

Almost surely, 2137325310816 is an apocalyptic number.

137325310816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137325310816 is an abundant number, since it is smaller than the sum of its proper divisors (141755161568).

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

137325310816 is a wasteful number, since it uses less digits than its factorization.

137325310816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138432814 (or 138432806 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 137325310816 in words is "one hundred thirty-seven billion, three hundred twenty-five million, three hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 138432773 276865546 553731092 1107462184 2214924368 4291415963 4429848736 8582831926 17165663852 34331327704 68662655408 137325310816