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137724144 = 2432869253
BaseRepresentation
bin10000011010110…
…00000011110000
3100121011010000020
420031120003300
5240224133034
621355523440
73261431055
oct1015300360
9317133006
10137724144
1170818208
123a159580
13226c149c
141441102c
15c157249
hex83580f0

137724144 has 20 divisors (see below), whose sum is σ = 355787496. Its totient is φ = 45908032.

The previous prime is 137724143. The next prime is 137724151. The reversal of 137724144 is 441427731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137724143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1434579 + ... + 1434674.

Almost surely, 2137724144 is an apocalyptic number.

It is an amenable number.

137724144 is an abundant number, since it is smaller than the sum of its proper divisors (218063352).

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

137724144 is a wasteful number, since it uses less digits than its factorization.

137724144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869264 (or 2869258 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 137724144 is about 11735.5930399788. The cubic root of 137724144 is about 516.4203653417.

The spelling of 137724144 in words is "one hundred thirty-seven million, seven hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2869253 5738506 8607759 11477012 17215518 22954024 34431036 45908048 68862072 137724144