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137946915 = 3353727617
BaseRepresentation
bin10000011100011…
…10011100100011
3100121120102121000
420032032130203
5240303300130
621404403043
73263346411
oct1016163443
9317512530
10137946915
117095a617
123a246483
132276b9c2
141446c2b1
15c19d260
hex838e723

137946915 has 32 divisors (see below), whose sum is σ = 251876160. Its totient is φ = 71580672.

The previous prime is 137946899. The next prime is 137946917. The reversal of 137946915 is 519649731.

It is not a de Polignac number, because 137946915 - 24 = 137946899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137946917) 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 31 ways as a sum of consecutive naturals, for example, 8814 + ... + 18803.

It is an arithmetic number, because the mean of its divisors is an integer number (7871130).

Almost surely, 2137946915 is an apocalyptic number.

137946915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137946915 is a deficient number, since it is larger than the sum of its proper divisors (113929245).

137946915 is a wasteful number, since it uses less digits than its factorization.

137946915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27668 (or 27662 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 137946915 is about 11745.0804594945. The cubic root of 137946915 is about 516.6986547428.

The spelling of 137946915 in words is "one hundred thirty-seven million, nine hundred forty-six thousand, nine hundred fifteen".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 555 999 1665 4995 27617 82851 138085 248553 414255 745659 1021829 1242765 3065487 3728295 5109145 9196461 15327435 27589383 45982305 137946915