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137331420 = 22353761861
BaseRepresentation
bin10000010111110…
…00001011011100
3100120102011021220
420023320023130
5240124101140
621343253340
73255204102
oct1013701334
9316364256
10137331420
117057a146
1239baa250
13225b47c5
141434bc72
15c0cabd0
hex82f82dc

137331420 has 48 divisors (see below), whose sum is σ = 394927008. Its totient is φ = 35631360.

The previous prime is 137331419. The next prime is 137331437. The reversal of 137331420 is 24133731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28711 + ... + 33150.

It is an arithmetic number, because the mean of its divisors is an integer number (8227646).

Almost surely, 2137331420 is an apocalyptic number.

137331420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137331420 is an abundant number, since it is smaller than the sum of its proper divisors (257595588).

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

137331420 is a wasteful number, since it uses less digits than its factorization.

137331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61910 (or 61908 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137331420 is about 11718.8489195825. The cubic root of 137331420 is about 515.9290359714.

The spelling of 137331420 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 61861 123722 185583 247444 309305 371166 618610 742332 927915 1237220 1855830 2288857 3711660 4577714 6866571 9155428 11444285 13733142 22888570 27466284 34332855 45777140 68665710 137331420