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137078940 = 22352978781
BaseRepresentation
bin10000010101110…
…10100010011100
3100112221022221210
420022322202130
5240043011230
621334024420
73253103025
oct1012724234
9315838853
10137078940
1170417489
1239aa8110
13225268cb
14142c3c4c
15c07aeb0
hex82ba89c

137078940 has 48 divisors (see below), whose sum is σ = 397061280. Its totient is φ = 35293440.

The previous prime is 137078933. The next prime is 137078941. The reversal of 137078940 is 49870731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137078941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37651 + ... + 41130.

It is an arithmetic number, because the mean of its divisors is an integer number (8272110).

Almost surely, 2137078940 is an apocalyptic number.

137078940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137078940 is an abundant number, since it is smaller than the sum of its proper divisors (259982340).

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

137078940 is a wasteful number, since it uses less digits than its factorization.

137078940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78822 (or 78820 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137078940 is about 11708.0715747727. The cubic root of 137078940 is about 515.6126682818.

The spelling of 137078940 in words is "one hundred thirty-seven million, seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 78781 157562 236343 315124 393905 472686 787810 945372 1181715 1575620 2284649 2363430 4569298 4726860 6853947 9138596 11423245 13707894 22846490 27415788 34269735 45692980 68539470 137078940