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137239640 = 23517201823
BaseRepresentation
bin10000010111000…
…01110001011000
3100120020111101122
420023201301120
5240113132030
621341304412
73254342366
oct1013416130
9316214348
10137239640
117051719a
1239b65108
1322581ab5
1414326636
15c0ad8e5
hex82e1c58

137239640 has 32 divisors (see below), whose sum is σ = 326954880. Its totient is φ = 51666432.

The previous prime is 137239639. The next prime is 137239673. The reversal of 137239640 is 46932731.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137239640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100232 + ... + 101591.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2137239640 is an apocalyptic number.

137239640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137239640 is an abundant number, since it is smaller than the sum of its proper divisors (189715240).

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

137239640 is a wasteful number, since it uses less digits than its factorization.

137239640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201851 (or 201847 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 137239640 is about 11714.9323514906. The cubic root of 137239640 is about 515.8140767983.

The spelling of 137239640 in words is "one hundred thirty-seven million, two hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 201823 403646 807292 1009115 1614584 2018230 3430991 4036460 6861982 8072920 13723964 17154955 27447928 34309910 68619820 137239640