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125006136 = 23331401419
BaseRepresentation
bin1110111001101…
…11000100111000
322201012222011220
413130313010320
5224000144021
620223152040
73045351243
oct734670470
9281188156
10125006136
1164620a62
1235a45620
131cb8a738
141286025a
15ae93cc6
hex7737138

125006136 has 64 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 40128000.

The previous prime is 125006129. The next prime is 125006159. The reversal of 125006136 is 631600521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 298135 + ... + 298553.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2125006136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

125006136 is an abundant number, since it is smaller than the sum of its proper divisors (199166664).

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

125006136 is a wasteful number, since it uses less digits than its factorization.

125006136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 125006136 is about 11180.6142943937. The cubic root of 125006136 is about 500.0081811995.

Adding to 125006136 its reverse (631600521), we get a palindrome (756606657).

The spelling of 125006136 in words is "one hundred twenty-five million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 401 419 744 802 838 1203 1257 1604 1676 2406 2514 3208 3352 4812 5028 9624 10056 12431 12989 24862 25978 37293 38967 49724 51956 74586 77934 99448 103912 149172 155868 168019 298344 311736 336038 504057 672076 1008114 1344152 2016228 4032456 5208589 10417178 15625767 20834356 31251534 41668712 62503068 125006136