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137802714 = 23717211353
BaseRepresentation
bin10000011011010…
…11001111011010
3100121022002210020
420031223033122
5240234141324
621401331310
73262206120
oct1015531732
9317262706
10137802714
1170871245
123a196b36
132271b18a
1414431910
15c170679
hex836b3da

137802714 has 48 divisors (see below), whose sum is σ = 334625088. Its totient is φ = 37052928.

The previous prime is 137802671. The next prime is 137802733. The reversal of 137802714 is 417208731.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6462 + ... + 17814.

It is an arithmetic number, because the mean of its divisors is an integer number (6971356).

Almost surely, 2137802714 is an apocalyptic number.

137802714 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 137802714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167312544).

137802714 is an abundant number, since it is smaller than the sum of its proper divisors (196822374).

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

137802714 is a wasteful number, since it uses less digits than its factorization.

137802714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137802714 is about 11738.9400714034. The cubic root of 137802714 is about 516.5185505823.

The spelling of 137802714 in words is "one hundred thirty-seven million, eight hundred two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1734 2023 4046 6069 11353 12138 22706 34059 68118 79471 158942 193001 238413 386002 476826 579003 1158006 1351007 2702014 3281017 4053021 6562034 8106042 9843051 19686102 22967119 45934238 68901357 137802714