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137163741 = 31113319729
BaseRepresentation
bin10000010110011…
…11001111011101
3100120002122021120
420023033033131
5240103214431
621335521153
73253605201
oct1013171735
9316078246
10137163741
1170475170
1239b291b9
13225563a0
1414306b01
15c096196
hex82cf3dd

137163741 has 16 divisors (see below), whose sum is σ = 214858560. Its totient is φ = 76734720.

The previous prime is 137163721. The next prime is 137163787. The reversal of 137163741 is 147361731.

It is not a de Polignac number, because 137163741 - 213 = 137155549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137163721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159436 + ... + 160293.

It is an arithmetic number, because the mean of its divisors is an integer number (13428660).

Almost surely, 2137163741 is an apocalyptic number.

137163741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137163741 is a deficient number, since it is larger than the sum of its proper divisors (77694819).

137163741 is a wasteful number, since it uses less digits than its factorization.

137163741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319756.

The product of its digits is 10584, while the sum is 33.

The square root of 137163741 is about 11711.6924908401. The cubic root of 137163741 is about 515.7189706711.

It can be divided in two parts, 137 and 163741, that added together give a triangular number (163878 = T572).

The spelling of 137163741 in words is "one hundred thirty-seven million, one hundred sixty-three thousand, seven hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 319729 959187 3517019 4156477 10551057 12469431 45721247 137163741