126387520 has 112 divisors (see below), whose sum is σ = 364296960. Its totient is φ = 40771584.

The previous prime is 126387509. The next prime is 126387533. The reversal of 126387520 is 25783621.

126387520 = 971² + 972² + ... + 1089².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 36421 + ... + 39739.

Almost surely, 2^126387520 is an apocalyptic number.

126387520 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 126387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182148480).

126387520 is an abundant number, since it is smaller than the sum of its proper divisors (237909440).

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

126387520 is a wasteful number, since it uses less digits than its factorization.

126387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 126387520 is about 11242.2204212513. The cubic root of 126387520 is about 501.8432233721.

The spelling of 126387520 in words is "one hundred twenty-six million, three hundred eighty-seven thousand, five hundred twenty".