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137013769 = 1931232621
BaseRepresentation
bin10000010101010…
…10101000001001
3100112211000120001
420022222220021
5240033420034
621332403001
73252412024
oct1012525011
9315730501
10137013769
1170382522
1239a76461
1322503049
14142a81bb
15c066a14
hex82aaa09

137013769 has 8 divisors (see below), whose sum is σ = 148878080. Its totient is φ = 125614800.

The previous prime is 137013749. The next prime is 137013791. The reversal of 137013769 is 967310731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137013769 - 27 = 137013641 is a prime.

It is a super-2 number, since 2×1370137692 = 37545545791170722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137013739) 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, 115722 + ... + 116899.

It is an arithmetic number, because the mean of its divisors is an integer number (18609760).

Almost surely, 2137013769 is an apocalyptic number.

137013769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137013769 is a deficient number, since it is larger than the sum of its proper divisors (11864311).

137013769 is a wasteful number, since it uses less digits than its factorization.

137013769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232671.

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 137013769 is about 11705.2880784712. The cubic root of 137013769 is about 515.5309433042.

The spelling of 137013769 in words is "one hundred thirty-seven million, thirteen thousand, seven hundred sixty-nine".

Divisors: 1 19 31 589 232621 4419799 7211251 137013769