126137564 has 48 divisors (see below), whose sum is σ = 260568000. Its totient is φ = 53399808.

The previous prime is 126137537. The next prime is 126137567. The reversal of 126137564 is 465731621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126137567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121592 + ... + 122624.

It is an arithmetic number, because the mean of its divisors is an integer number (5428500).

Almost surely, 2^126137564 is an apocalyptic number.

126137564 is a gapful number since it is divisible by the number (14) 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 126137564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130284000).

126137564 is an abundant number, since it is smaller than the sum of its proper divisors (134430436).

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

126137564 is a wasteful number, since it uses less digits than its factorization.

126137564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 126137564 is about 11231.0980763236. The cubic root of 126137564 is about 501.5121740488.

The spelling of 126137564 in words is "one hundred twenty-six million, one hundred thirty-seven thousand, five hundred sixty-four".