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125143920 = 243351123229
BaseRepresentation
bin1110111010110…
…00101101110000
322201110222012000
413131120231300
5224014101140
620230134000
73046464036
oct735305560
9281428160
10125143920
1164705530
1235ab1300
131cc08375
1412898556
15aebea30
hex7758b70

125143920 has 320 divisors, whose sum is σ = 492825600. Its totient is φ = 28892160.

The previous prime is 125143913. The next prime is 125143927. The reversal of 125143920 is 29341521.

It is an interprime number because it is at equal distance from previous prime (125143913) and next prime (125143927).

It is a super-2 number, since 2×1251439202 = 31322001425932800, which contains 22 as substring.

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 (125143927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546366 + ... + 546594.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 2125143920 is an apocalyptic number.

125143920 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 125143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246412800).

125143920 is an abundant number, since it is smaller than the sum of its proper divisors (367681680).

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

125143920 is a wasteful number, since it uses less digits than its factorization.

125143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125143920 is about 11186.7743340071. The cubic root of 125143920 is about 500.1918197343.

The spelling of 125143920 in words is "one hundred twenty-five million, one hundred forty-three thousand, nine hundred twenty".