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137741634 = 2393499
BaseRepresentation
bin10000011010111…
…00010101000010
3100121012000000000
420031130111002
5240230213014
621400140430
73261533052
oct1015342502
9317160000
10137741634
117082a368
123a167716
13226c9434
1414417562
15c15c509
hex835c542

137741634 has 40 divisors (see below), whose sum is σ = 310002000. Its totient is φ = 45900756.

The previous prime is 137741627. The next prime is 137741671. The reversal of 137741634 is 436147731.

137741634 is a `hidden beast` number, since 13 + 7 + 7 + 4 + 1 + 634 = 666.

Its product of digits (42336) is a multiple of the sum of its prime factors (3528).

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 19 ways as a sum of consecutive naturals, for example, 37617 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (7750050).

Almost surely, 2137741634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137741634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001000).

137741634 is an abundant number, since it is smaller than the sum of its proper divisors (172260366).

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

137741634 is an frugal number, since it uses more digits than its factorization.

137741634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3504 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 137741634 is about 11736.3381853115. The cubic root of 137741634 is about 516.4422250041.

The spelling of 137741634 in words is "one hundred thirty-seven million, seven hundred forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 3499 4374 6561 6998 10497 13122 19683 20994 31491 39366 62982 94473 188946 283419 566838 850257 1700514 2550771 5101542 7652313 15304626 22956939 45913878 68870817 137741634