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137376120 = 23357163543
BaseRepresentation
bin10000011000000…
…11000101111000
3100120111102121110
420030003011320
5240132013440
621344240320
73255451320
oct1014030570
9316442543
10137376120
11705aa792
123a0100a0
13225cbc5b
1414360280
15c0d9080
hex8303178

137376120 has 64 divisors (see below), whose sum is σ = 471006720. Its totient is φ = 31400064.

The previous prime is 137376119. The next prime is 137376139. The reversal of 137376120 is 21673731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80932 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (7359480).

Almost surely, 2137376120 is an apocalyptic number.

137376120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137376120 is an abundant number, since it is smaller than the sum of its proper divisors (333630600).

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

137376120 is a wasteful number, since it uses less digits than its factorization.

137376120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163564 (or 163560 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 137376120 is about 11720.7559483166. The cubic root of 137376120 is about 515.9850064750.

The spelling of 137376120 in words is "one hundred thirty-seven million, three hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 163543 327086 490629 654172 817715 981258 1144801 1308344 1635430 1962516 2289602 2453145 3270860 3434403 3925032 4579204 4906290 5724005 6541720 6868806 9158408 9812580 11448010 13737612 17172015 19625160 22896020 27475224 34344030 45792040 68688060 137376120