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137240840 = 235111312381
BaseRepresentation
bin10000010111000…
…10000100001000
3100120020120001002
420023202010020
5240113201330
621341314132
73254346032
oct1013420410
9316216032
10137240840
1170518090
1239b65948
13225824c9
1414326c52
15c0ade45
hex82e2108

137240840 has 64 divisors (see below), whose sum is σ = 339577920. Its totient is φ = 49504000.

The previous prime is 137240833. The next prime is 137240843. The reversal of 137240840 is 48042731.

It is not an unprimeable number, because it can be changed into a prime (137240843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56450 + ... + 58830.

It is an arithmetic number, because the mean of its divisors is an integer number (5305905).

Almost surely, 2137240840 is an apocalyptic number.

137240840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137240840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169788960).

137240840 is an abundant number, since it is smaller than the sum of its proper divisors (202337080).

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

137240840 is a wasteful number, since it uses less digits than its factorization.

137240840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 137240840 is about 11714.9835680636. The cubic root of 137240840 is about 515.8155801907.

The spelling of 137240840 in words is "one hundred thirty-seven million, two hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2381 2620 2882 4762 5240 5764 7205 9524 11528 11905 14410 19048 23810 26191 28820 47620 52382 57640 95240 104764 130955 209528 261910 311911 523820 623822 1047640 1247644 1559555 2495288 3119110 3431021 6238220 6862042 12476440 13724084 17155105 27448168 34310210 68620420 137240840