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137189412 = 22323810817
BaseRepresentation
bin10000010110101…
…01100000100100
3100120010221111100
420023111200210
5240110030122
621340240100
73254043063
oct1013254044
9316127440
10137189412
1170492488
1239b40030
1322564c89
14143121da
15c09daac
hex82d5824

137189412 has 18 divisors (see below), whose sum is σ = 346784438. Its totient is φ = 45729792.

The previous prime is 137189383. The next prime is 137189413. The reversal of 137189412 is 214981731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82192356 + 54997056 = 9066^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1371894123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3810817 = 137189412 / (1 + 3 + 7 + 1 + 8 + 9 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (137189413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1905373 + ... + 1905444.

Almost surely, 2137189412 is an apocalyptic number.

137189412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137189412 is an abundant number, since it is smaller than the sum of its proper divisors (209595026).

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

137189412 is a wasteful number, since it uses less digits than its factorization.

137189412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810827 (or 3810822 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 137189412 is about 11712.7883955956. The cubic root of 137189412 is about 515.7511419427.

The spelling of 137189412 in words is "one hundred thirty-seven million, one hundred eighty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3810817 7621634 11432451 15243268 22864902 34297353 45729804 68594706 137189412