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137123160 = 23351142693
BaseRepresentation
bin10000010110001…
…01010101011000
3100120000120121120
420023011111120
5240100420120
621335005240
73253345656
oct1013052530
9316016546
10137123160
1170447729
1239b09820
1322540a85
14142d5dd6
15c089140
hex82c5558

137123160 has 32 divisors (see below), whose sum is σ = 411369840. Its totient is φ = 36566144.

The previous prime is 137123149. The next prime is 137123167. The reversal of 137123160 is 61321731.

It is a super-2 number, since 2×1371231602 = 37605522016771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 137123160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137123167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571227 + ... + 571466.

Almost surely, 2137123160 is an apocalyptic number.

137123160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137123160 is an abundant number, since it is smaller than the sum of its proper divisors (274246680).

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

137123160 is a wasteful number, since it uses less digits than its factorization.

137123160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142707 (or 1142703 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137123160 is about 11709.9598632959. The cubic root of 137123160 is about 515.6681057811.

Adding to 137123160 its reverse (61321731), we get a palindrome (198444891).

It can be divided in two parts, 1371 and 23160, that added together give a triangular number (24531 = T221).

The spelling of 137123160 in words is "one hundred thirty-seven million, one hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1142693 2285386 3428079 4570772 5713465 6856158 9141544 11426930 13712316 17140395 22853860 27424632 34280790 45707720 68561580 137123160