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137107026 = 2337362717
BaseRepresentation
bin10000010110000…
…01011001010010
3100112222202111000
420023001121102
5240044411101
621334402430
73253250640
oct1013013122
9315882430
10137107026
11704365a1
1239b00416
1322536624
14142d0190
15c084486
hex82c1652

137107026 has 32 divisors (see below), whose sum is σ = 348209280. Its totient is φ = 39173328.

The previous prime is 137106971. The next prime is 137107039. The reversal of 137107026 is 620701731.

137107026 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 180981 + ... + 181736.

It is an arithmetic number, because the mean of its divisors is an integer number (10881540).

Almost surely, 2137107026 is an apocalyptic number.

137107026 is an abundant number, since it is smaller than the sum of its proper divisors (211102254).

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

137107026 is a wasteful number, since it uses less digits than its factorization.

137107026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362735 (or 362729 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137107026 is about 11709.2709422918. The cubic root of 137107026 is about 515.6478803731.

Adding to 137107026 its reverse (620701731), we get a palindrome (757808757).

It can be divided in two parts, 13710 and 7026, that added together give a 4-th power (20736 = 124).

The spelling of 137107026 in words is "one hundred thirty-seven million, one hundred seven thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 362717 725434 1088151 2176302 2539019 3264453 5078038 6528906 7617057 9793359 15234114 19586718 22851171 45702342 68553513 137107026