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137093754 = 237231391021
BaseRepresentation
bin10000010101111…
…10001001111010
3100112222002021110
420022332021322
5240044000004
621334221150
73253164150
oct1012761172
9315862243
10137093754
1170427626
1239ab47b6
1322530585
14142c93d0
15c080589
hex82be27a

137093754 has 64 divisors (see below), whose sum is σ = 329656320. Its totient is φ = 37160640.

The previous prime is 137093743. The next prime is 137093767. The reversal of 137093754 is 457390731.

It is a happy number.

137093754 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133764 + ... + 134784.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2137093754 is an apocalyptic number.

137093754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137093754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

137093754 is an abundant number, since it is smaller than the sum of its proper divisors (192562566).

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

137093754 is a wasteful number, since it uses less digits than its factorization.

137093754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 137093754 is about 11708.7041981596. The cubic root of 137093754 is about 515.6312415480.

The spelling of 137093754 in words is "one hundred thirty-seven million, ninety-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 139 161 278 322 417 483 834 966 973 1021 1946 2042 2919 3063 3197 5838 6126 6394 7147 9591 14294 19182 21441 22379 23483 42882 44758 46966 67137 70449 134274 140898 141919 164381 283838 328762 425757 493143 851514 986286 993433 1986866 2980299 3264137 5960598 6528274 9792411 19584822 22848959 45697918 68546877 137093754