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125152764 = 223111078861
BaseRepresentation
bin1110111010110…
…10110111111100
322201111102022120
413131122313330
5224014342024
620230242540
73046531602
oct735326774
9281442276
10125152764
1164711140
1235ab6450
131cc0c3b9
141289b872
15aec2479
hex775adfc

125152764 has 48 divisors (see below), whose sum is σ = 321584256. Its totient is φ = 37566400.

The previous prime is 125152739. The next prime is 125152771. The reversal of 125152764 is 467251521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9694 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (6699672).

Almost surely, 2125152764 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 125152764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160792128).

125152764 is an abundant number, since it is smaller than the sum of its proper divisors (196431492).

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

125152764 is a wasteful number, since it uses less digits than its factorization.

125152764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8984 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 125152764 is about 11187.1696152333. The cubic root of 125152764 is about 500.2036024142.

The spelling of 125152764 in words is "one hundred twenty-five million, one hundred fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 8861 14124 17722 26583 35444 53166 97471 106332 194942 292413 389884 584826 948127 1169652 1896254 2844381 3792508 5688762 10429397 11377524 20858794 31288191 41717588 62576382 125152764