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125942147520 = 26357193147677
BaseRepresentation
bin111010101001010111…
…1001010100111000000
3110001002010100222111020
41311102233022213000
54030412142210040
6133505041145440
712045651406440
oct1652257124700
9401063328436
10125942147520
1149459071542
12204a992b280
13bb512a87a7
14614a5b6120
1534219b1cd0
hex1d52bca9c0

125942147520 has 896 divisors, whose sum is σ = 507873853440. Its totient is φ = 25792266240.

The previous prime is 125942147519. The next prime is 125942147537. The reversal of 125942147520 is 25741249521.

It is a happy number.

It is a super-2 number, since 2×1259421475202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186029422 + ... + 186030098.

Almost surely, 2125942147520 is an apocalyptic number.

125942147520 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 125942147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253936926720).

125942147520 is an abundant number, since it is smaller than the sum of its proper divisors (381931705920).

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

125942147520 is a wasteful number, since it uses less digits than its factorization.

125942147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 125942147520 in words is "one hundred twenty-five billion, nine hundred forty-two million, one hundred forty-seven thousand, five hundred twenty".