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137371456 = 262393323
BaseRepresentation
bin10000011000000…
…01111101000000
3100120111012012201
420030001331000
5240131341311
621344202544
73255431605
oct1014017500
9316435181
10137371456
11705a7232
123a009454
13225c9ab1
141435c6ac
15c0d79c1
hex8301f40

137371456 has 28 divisors (see below), whose sum is σ = 284451552. Its totient is φ = 65698688.

The previous prime is 137371453. The next prime is 137371457. The reversal of 137371456 is 654173731.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137371453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45190 + ... + 48133.

It is an arithmetic number, because the mean of its divisors is an integer number (10158984).

Almost surely, 2137371456 is an apocalyptic number.

137371456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137371456 is an abundant number, since it is smaller than the sum of its proper divisors (147080096).

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

137371456 is an equidigital number, since it uses as much as digits as its factorization.

137371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93358 (or 93348 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 137371456 is about 11720.5569833519. The cubic root of 137371456 is about 515.9791670775.

The spelling of 137371456 in words is "one hundred thirty-seven million, three hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 93323 186646 373292 746584 1493168 2146429 2986336 4292858 5972672 8585716 17171432 34342864 68685728 137371456