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137190040 = 23513263827
BaseRepresentation
bin10000010110101…
…01101010011000
3100120010222100121
420023111222120
5240110040130
621340243024
73254044651
oct1013255230
9316128317
10137190040
11704929a9
1239b40474
1322565350
1414312528
15c09dd7a
hex82d5a98

137190040 has 32 divisors (see below), whose sum is σ = 332423280. Its totient is φ = 50654592.

The previous prime is 137189971. The next prime is 137190047. The reversal of 137190040 is 40091731.

It is a super-2 number, since 2×1371900402 = 37642214150403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137189987 and 137190014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137190047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131394 + ... + 132433.

Almost surely, 2137190040 is an apocalyptic number.

137190040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137190040 is an abundant number, since it is smaller than the sum of its proper divisors (195233240).

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

137190040 is a wasteful number, since it uses less digits than its factorization.

137190040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263851 (or 263847 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 137190040 is about 11712.8152038696. The cubic root of 137190040 is about 515.7519289111.

The spelling of 137190040 in words is "one hundred thirty-seven million, one hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 263827 527654 1055308 1319135 2110616 2638270 3429751 5276540 6859502 10553080 13719004 17148755 27438008 34297510 68595020 137190040