126077952 has 352 divisors, whose sum is σ = 462196224. Its totient is φ = 29491200.

The previous prime is 126077951. The next prime is 126077953. The reversal of 126077952 is 259770621.

It is an interprime number because it is at equal distance from previous prime (126077951) and next prime (126077953).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126077952.

It is not an unprimeable number, because it can be changed into a prime (126077951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075052 + ... + 3075092.

Almost surely, 2^126077952 is an apocalyptic number.

126077952 is a gapful number since it is divisible by the number (12) 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 126077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231098112).

126077952 is an abundant number, since it is smaller than the sum of its proper divisors (336118272).

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

126077952 is a wasteful number, since it uses less digits than its factorization.

126077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 126077952 is about 11228.4438815002. The cubic root of 126077952 is about 501.4331575275.

The spelling of 126077952 in words is "one hundred twenty-six million, seventy-seven thousand, nine hundred fifty-two".