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137336408 = 23111982139
BaseRepresentation
bin10000010111110…
…01011001011000
3100120102102010122
420023321121120
5240124231113
621343332412
73255224456
oct1013713130
9316372118
10137336408
1170582970
1239bb1108
13225b6b61
141434d9d6
15c0cc408
hex82f9658

137336408 has 32 divisors (see below), whose sum is σ = 295704000. Its totient is φ = 59139360.

The previous prime is 137336401. The next prime is 137336413. The reversal of 137336408 is 804633731.

It is a happy number.

It is a super-2 number, since 2×1373364082 = 37722577924684928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137336401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39398 + ... + 42741.

It is an arithmetic number, because the mean of its divisors is an integer number (9240750).

Almost surely, 2137336408 is an apocalyptic number.

It is an amenable number.

137336408 is an abundant number, since it is smaller than the sum of its proper divisors (158367592).

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

137336408 is a wasteful number, since it uses less digits than its factorization.

137336408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82175 (or 82171 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 137336408 is about 11719.0617371870. The cubic root of 137336408 is about 515.9352822304.

The spelling of 137336408 in words is "one hundred thirty-seven million, three hundred thirty-six thousand, four hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 82139 164278 328556 657112 903529 1560641 1807058 3121282 3614116 6242564 7228232 12485128 17167051 34334102 68668204 137336408