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137213712 = 2432952873
BaseRepresentation
bin10000010110110…
…11011100010000
3100120012011211100
420023123130100
5240111314322
621340544400
73254203656
oct1013333420
9316164740
10137213712
11704a9769
1239b52100
132257305c
141431add6
15c0a5dac
hex82db710

137213712 has 30 divisors (see below), whose sum is σ = 384008222. Its totient is φ = 45737856.

The previous prime is 137213693. The next prime is 137213737. The reversal of 137213712 is 217312731.

It can be written as a sum of positive squares in only one way, i.e., 98724096 + 38489616 = 9936^2 + 6204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476293 + ... + 476580.

Almost surely, 2137213712 is an apocalyptic number.

137213712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137213712 is an abundant number, since it is smaller than the sum of its proper divisors (246794510).

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

137213712 is a wasteful number, since it uses less digits than its factorization.

137213712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952887 (or 952878 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 137213712 is about 11713.8256773780. The cubic root of 137213712 is about 515.7815913597.

The spelling of 137213712 in words is "one hundred thirty-seven million, two hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 952873 1905746 2858619 3811492 5717238 7622984 8575857 11434476 15245968 17151714 22868952 34303428 45737904 68606856 137213712