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137530744 = 23131578423
BaseRepresentation
bin10000011001010…
…00110101111000
3100120210021201021
420030220311320
5240201440434
621351432224
73256664161
oct1014506570
9316707637
10137530744
11706a597a
123a085674
1322654450
14143a0768
15c119cb4
hex8328d78

137530744 has 32 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 63063936.

The previous prime is 137530741. The next prime is 137530753. The reversal of 137530744 is 447035731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137530741) 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, 12117 + ... + 20539.

It is an arithmetic number, because the mean of its divisors is an integer number (8734635).

Almost surely, 2137530744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137530744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754160).

137530744 is an abundant number, since it is smaller than the sum of its proper divisors (141977576).

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

137530744 is a wasteful number, since it uses less digits than its factorization.

137530744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8595 counting only the distinct ones).

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

The square root of 137530744 is about 11727.3502548530. The cubic root of 137530744 is about 516.1785232492.

The spelling of 137530744 in words is "one hundred thirty-seven million, five hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 8423 16328 16846 33692 67384 109499 218998 437996 875992 1322411 2644822 5289644 10579288 17191343 34382686 68765372 137530744