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137242581 = 3721754919
BaseRepresentation
bin10000010111000…
…10011111010101
3100120020122102120
420023202133111
5240113230311
621341330153
73254354100
oct1013423725
9316218376
10137242581
1170519423
1239b66959
1322583238
1414327737
15c0ae706
hex82e27d5

137242581 has 24 divisors (see below), whose sum is σ = 225391680. Its totient is φ = 73809792.

The previous prime is 137242579. The next prime is 137242597. The reversal of 137242581 is 185242731.

137242581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137242581 - 21 = 137242579 is a prime.

It is a super-2 number, since 2×1372425812 = 37671052079083122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137241581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24961 + ... + 29958.

It is an arithmetic number, because the mean of its divisors is an integer number (9391320).

Almost surely, 2137242581 is an apocalyptic number.

It is an amenable number.

137242581 is a deficient number, since it is larger than the sum of its proper divisors (88149099).

137242581 is a wasteful number, since it uses less digits than its factorization.

137242581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54953 (or 54946 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 137242581 is about 11715.0578743769. The cubic root of 137242581 is about 515.8177613469.

The spelling of 137242581 in words is "one hundred thirty-seven million, two hundred forty-two thousand, five hundred eighty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 54919 164757 384433 933623 1153299 2691031 2800869 6535361 8073093 19606083 45747527 137242581