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137574240 = 2535286613
BaseRepresentation
bin10000011001100…
…11011101100000
3100120212111101020
420030303131200
5240204333430
621352405440
73260235036
oct1014633540
9316774336
10137574240
1170725621
123a0a6880
132266b19b
14143b2556
15c127b10
hex8333760

137574240 has 48 divisors (see below), whose sum is σ = 433360368. Its totient is φ = 36686336.

The previous prime is 137574197. The next prime is 137574257. The reversal of 137574240 is 42475731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142827 + ... + 143786.

It is an arithmetic number, because the mean of its divisors is an integer number (9028341).

Almost surely, 2137574240 is an apocalyptic number.

137574240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137574240 is an abundant number, since it is smaller than the sum of its proper divisors (295786128).

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

137574240 is a wasteful number, since it uses less digits than its factorization.

137574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286631 (or 286623 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 137574240 is about 11729.2045766113. The cubic root of 137574240 is about 516.2329337127.

The spelling of 137574240 in words is "one hundred thirty-seven million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 286613 573226 859839 1146452 1433065 1719678 2292904 2866130 3439356 4299195 4585808 5732260 6878712 8598390 9171616 11464520 13757424 17196780 22929040 27514848 34393560 45858080 68787120 137574240