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137741340 = 223511208699
BaseRepresentation
bin10000011010111…
…00010000011100
3100121011222121010
420031130100130
5240230210330
621400135220
73261532152
oct1015342034
9317158533
10137741340
117082a120
123a167510
13226c9269
14144173d2
15c15c3b0
hex835c41c

137741340 has 48 divisors (see below), whose sum is σ = 420739200. Its totient is φ = 33391680.

The previous prime is 137741333. The next prime is 137741353. The reversal of 137741340 is 43147731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137741298 and 137741307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103690 + ... + 105009.

It is an arithmetic number, because the mean of its divisors is an integer number (8765400).

Almost surely, 2137741340 is an apocalyptic number.

137741340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137741340 is an abundant number, since it is smaller than the sum of its proper divisors (282997860).

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

137741340 is a wasteful number, since it uses less digits than its factorization.

137741340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208722 (or 208720 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137741340 is about 11736.3256601033. The cubic root of 137741340 is about 516.4418575671.

The spelling of 137741340 in words is "one hundred thirty-seven million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 208699 417398 626097 834796 1043495 1252194 2086990 2295689 2504388 3130485 4173980 4591378 6260970 6887067 9182756 11478445 12521940 13774134 22956890 27548268 34435335 45913780 68870670 137741340