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137450456 = 231113137877
BaseRepresentation
bin10000011000101…
…01001111011000
3100120122012120122
420030111033120
5240141403311
621350012412
73256211123
oct1014251730
9316565518
10137450456
1170650620
123a047108
1322626a40
141437d3ba
15c1010db
hex83153d8

137450456 has 64 divisors (see below), whose sum is σ = 305333280. Its totient is φ = 57185280.

The previous prime is 137450413. The next prime is 137450473. The reversal of 137450456 is 654054731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156290 + ... + 157166.

Almost surely, 2137450456 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 137450456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152666640).

137450456 is an abundant number, since it is smaller than the sum of its proper divisors (167882824).

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

137450456 is a wasteful number, since it uses less digits than its factorization.

137450456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 137450456 is about 11723.9266459664. The cubic root of 137450456 is about 516.0780584192.

The spelling of 137450456 in words is "one hundred thirty-seven million, four hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 137 143 274 286 548 572 877 1096 1144 1507 1754 1781 3014 3508 3562 6028 7016 7124 9647 11401 12056 14248 19294 19591 22802 38588 39182 45604 77176 78364 91208 120149 125411 156728 240298 250822 480596 501644 961192 1003288 1321639 1561937 2643278 3123874 5286556 6247748 10573112 12495496 17181307 34362614 68725228 137450456