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137161521232752 = 24323197630662479
BaseRepresentation
bin11111001011111101100111…
…101111111111101101110000
3122222122111212020200001011210
4133023331213233333231300
5120434223243413422002
61203415044420040120
740614410234615052
oct3713754757775560
9588574766601153
10137161521232752
113a781968a40385
12134729a3b33040
135b6c378364c43
1425c291dd778d2
1510ccd4507596c
hex7cbf67bffb70

137161521232752 has 80 divisors (see below), whose sum is σ = 371616605015040. Its totient is φ = 43510665682176.

The previous prime is 137161521232751. The next prime is 137161521232819. The reversal of 137161521232752 is 257232125161731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137161521232751) 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, 315113752 + ... + 315548727.

It is an arithmetic number, because the mean of its divisors is an integer number (4645207562688).

Almost surely, 2137161521232752 is an apocalyptic number.

137161521232752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137161521232752 is an abundant number, since it is smaller than the sum of its proper divisors (234455083782288).

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

137161521232752 is a wasteful number, since it uses less digits than its factorization.

137161521232752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630662710 (or 630662704 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 137161521232752 in words is "one hundred thirty-seven trillion, one hundred sixty-one billion, five hundred twenty-one million, two hundred thirty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 197 276 368 394 552 591 788 1104 1182 1576 2364 3152 4531 4728 9062 9456 13593 18124 27186 36248 54372 72496 108744 217488 630662479 1261324958 1891987437 2522649916 3783974874 5045299832 7567949748 10090599664 14505237017 15135899496 29010474034 30271798992 43515711051 58020948068 87031422102 116041896136 124240508363 174062844204 232083792272 248481016726 348125688408 372721525089 496962033452 696251376816 745443050178 993924066904 1490886100356 1987848133808 2857531692349 2981772200712 5715063384698 5963544401424 8572595077047 11430126769396 17145190154094 22860253538792 34290380308188 45720507077584 68580760616376 137161521232752