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125388000 = 25365343
BaseRepresentation
bin1110111100101…
…00010011100000
322201221101000000
413132110103200
5224044404000
620235300000
73051531453
oct736242340
9281841000
10125388000
1164861951
1235baa600
131cc924aa
141291d49a
15b01c000
hex77944e0

125388000 has 336 divisors, whose sum is σ = 472648176. Its totient is φ = 32659200.

The previous prime is 125387993. The next prime is 125388007. The reversal of 125388000 is 883521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125387993) and next prime (125388007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125388007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915979 + ... + 2916021.

It is an arithmetic number, because the mean of its divisors is an integer number (1406691).

Almost surely, 2125388000 is an apocalyptic number.

125388000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236324088).

125388000 is an abundant number, since it is smaller than the sum of its proper divisors (347260176).

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

125388000 is an frugal number, since it uses more digits than its factorization.

125388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125388000 is about 11197.6783307970. The cubic root of 125388000 is about 500.5167989869.

It can be divided in two parts, 1253 and 88000, that added together give a triangular number (89253 = T422).

The spelling of 125388000 in words is "one hundred twenty-five million, three hundred eighty-eight thousand".