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137534740 = 22574612131
BaseRepresentation
bin10000011001010…
…01110100010100
3100120210111012021
420030221310110
5240202102430
621351502524
73260011630
oct1014516424
9316714167
10137534740
11706a8982
123a087a44
1322656205
14143a1dc0
15c11b07a
hex8329d14

137534740 has 48 divisors (see below), whose sum is σ = 330954624. Its totient is φ = 47030400.

The previous prime is 137534729. The next prime is 137534773. The reversal of 137534740 is 47435731.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137534696 and 137534705.

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, 63475 + ... + 65605.

It is an arithmetic number, because the mean of its divisors is an integer number (6894888).

Almost surely, 2137534740 is an apocalyptic number.

137534740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137534740 is an abundant number, since it is smaller than the sum of its proper divisors (193419884).

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

137534740 is a wasteful number, since it uses less digits than its factorization.

137534740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 137534740 is about 11727.5206245822. The cubic root of 137534740 is about 516.1835224451.

Subtracting from 137534740 its reverse (47435731), we obtain a palindrome (90099009).

The spelling of 137534740 in words is "one hundred thirty-seven million, five hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 461 922 1844 2131 2305 3227 4262 4610 6454 8524 9220 10655 12908 14917 16135 21310 29834 32270 42620 59668 64540 74585 149170 298340 982391 1964782 3929564 4911955 6876737 9823910 13753474 19647820 27506948 34383685 68767370 137534740