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137051512 = 23131379619
BaseRepresentation
bin10000010101100…
…11110101111000
3100112212221022221
420022303311320
5240041122022
621333253424
73252630043
oct1012636570
9315787287
10137051512
11703a8914
1239a94274
1322517290
14142b7c5a
15c072cc7
hex82b3d78

137051512 has 32 divisors (see below), whose sum is σ = 278787600. Its totient is φ = 62786304.

The previous prime is 137051459. The next prime is 137051531. The reversal of 137051512 is 215150731.

137051512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1370515122 = 37566233882972288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9439 + ... + 19057.

Almost surely, 2137051512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137051512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139393800).

137051512 is an abundant number, since it is smaller than the sum of its proper divisors (141736088).

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

137051512 is a wasteful number, since it uses less digits than its factorization.

137051512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 137051512 is about 11706.9001874963. The cubic root of 137051512 is about 515.5782764984.

The spelling of 137051512 in words is "one hundred thirty-seven million, fifty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 9619 14248 19238 38476 76952 125047 250094 500188 1000376 1317803 2635606 5271212 10542424 17131439 34262878 68525756 137051512