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137726004 = 223136713177
BaseRepresentation
bin10000011010110…
…00100000110100
3100121011012120010
420031120200310
5240224213004
621355540220
73261436353
oct1015304064
9317135503
10137726004
1170819649
123a15a670
13226c22a0
141441199a
15c157a89
hex8358834

137726004 has 48 divisors (see below), whose sum is σ = 351272768. Its totient is φ = 41741568.

The previous prime is 137725943. The next prime is 137726009. The reversal of 137726004 is 400627731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137726009) 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, 3864 + ... + 17040.

Almost surely, 2137726004 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 137726004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175636384).

137726004 is an abundant number, since it is smaller than the sum of its proper divisors (213546764).

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

137726004 is a wasteful number, since it uses less digits than its factorization.

137726004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13262 counting only the distinct ones).

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

The square root of 137726004 is about 11735.6722858130. The cubic root of 137726004 is about 516.4226901279.

The spelling of 137726004 in words is "one hundred thirty-seven million, seven hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 5226 10452 13177 26354 39531 52708 79062 158124 171301 342602 513903 685204 882859 1027806 1765718 2055612 2648577 3531436 5297154 10594308 11477167 22954334 34431501 45908668 68863002 137726004