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137133660 = 22357132191
BaseRepresentation
bin10000010110001…
…11111001011100
3100120001010000110
420023013321130
5240101234120
621335130020
73253421406
oct1013077134
9316033013
10137133660
1170454604
1239b13910
13225457a1
14142d9b76
15c08c2e0
hex82c7e5c

137133660 has 48 divisors (see below), whose sum is σ = 389394432. Its totient is φ = 36052800.

The previous prime is 137133629. The next prime is 137133701. The reversal of 137133660 is 66331731.

137133660 is digitally balanced in base 2, 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 (30).

It is a congruent number.

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, 11836 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (8112384).

Almost surely, 2137133660 is an apocalyptic number.

137133660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137133660 is an abundant number, since it is smaller than the sum of its proper divisors (252260772).

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

137133660 is a wasteful number, since it uses less digits than its factorization.

137133660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32274 (or 32272 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 137133660 is about 11710.4081910068. The cubic root of 137133660 is about 515.6812676153.

The spelling of 137133660 in words is "one hundred thirty-seven million, one hundred thirty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 32191 64382 96573 128764 160955 193146 321910 386292 482865 643820 965730 1931460 2285561 4571122 6856683 9142244 11427805 13713366 22855610 27426732 34283415 45711220 68566830 137133660