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137124825 = 3521828331
BaseRepresentation
bin10000010110001…
…01101111011001
3100120000122220020
420023011233121
5240100443300
621335021053
73253353555
oct1013055731
9316018806
10137124825
1170448a02
1239b0a789
1322541766
14142d6865
15c0898a0
hex82c5bd9

137124825 has 12 divisors (see below), whose sum is σ = 226713168. Its totient is φ = 73133200.

The previous prime is 137124809. The next prime is 137124829. The reversal of 137124825 is 528421731.

137124825 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 137124825 - 24 = 137124809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137124829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914091 + ... + 914240.

It is an arithmetic number, because the mean of its divisors is an integer number (18892764).

Almost surely, 2137124825 is an apocalyptic number.

137124825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137124825 is a deficient number, since it is larger than the sum of its proper divisors (89588343).

137124825 is a wasteful number, since it uses less digits than its factorization.

137124825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828344 (or 1828339 counting only the distinct ones).

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

The square root of 137124825 is about 11710.0309564066. The cubic root of 137124825 is about 515.6701929167.

The spelling of 137124825 in words is "one hundred thirty-seven million, one hundred twenty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 1828331 5484993 9141655 27424965 45708275 137124825