126148704 has 96 divisors (see below), whose sum is σ = 382548096. Its totient is φ = 35973120.

The previous prime is 126148699. The next prime is 126148709. The reversal of 126148704 is 407841621.

It is an interprime number because it is at equal distance from previous prime (126148699) and next prime (126148709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126148709) 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, 14439 + ... + 21465.

It is an arithmetic number, because the mean of its divisors is an integer number (3984876).

Almost surely, 2^126148704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191274048).

126148704 is an abundant number, since it is smaller than the sum of its proper divisors (256399392).

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

126148704 is a wasteful number, since it uses less digits than its factorization.

126148704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 126148704 is about 11231.5940097566. The cubic root of 126148704 is about 501.5269375102.

The spelling of 126148704 in words is "one hundred twenty-six million, one hundred forty-eight thousand, seven hundred four".