126377664 has 224 divisors, whose sum is σ = 414528000. Its totient is φ = 33868800.

The previous prime is 126377659. The next prime is 126377687. The reversal of 126377664 is 466773621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251214 + ... + 1251314.

Almost surely, 2^126377664 is an apocalyptic number.

126377664 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 126377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207264000).

126377664 is an abundant number, since it is smaller than the sum of its proper divisors (288150336).

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

126377664 is a wasteful number, since it uses less digits than its factorization.

126377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 126377664 is about 11241.7820651354. The cubic root of 126377664 is about 501.8301780562.

It can be divided in two parts, 12637 and 7664, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 126377664 in words is "one hundred twenty-six million, three hundred seventy-seven thousand, six hundred sixty-four".