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137235980 = 22573672671
BaseRepresentation
bin10000010111000…
…00111000001100
3100120020022101002
420023200320030
5240113022410
621341235432
73254325620
oct1013407014
9316208332
10137235980
1170514472
1239b62b78
132258022b
1414325180
15c0ac7a5
hex82e0e0c

137235980 has 48 divisors (see below), whose sum is σ = 330387456. Its totient is φ = 46906560.

The previous prime is 137235949. The next prime is 137236037. The reversal of 137235980 is 89532731.

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, 50045 + ... + 52715.

It is an arithmetic number, because the mean of its divisors is an integer number (6883072).

Almost surely, 2137235980 is an apocalyptic number.

137235980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137235980 is an abundant number, since it is smaller than the sum of its proper divisors (193151476).

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

137235980 is a wasteful number, since it uses less digits than its factorization.

137235980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 137235980 is about 11714.7761395598. The cubic root of 137235980 is about 515.8094913974.

The spelling of 137235980 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 367 734 1468 1835 2569 2671 3670 5138 5342 7340 10276 10684 12845 13355 18697 25690 26710 37394 51380 53420 74788 93485 186970 373940 980257 1960514 3921028 4901285 6861799 9802570 13723598 19605140 27447196 34308995 68617990 137235980