126155462400 has 324 divisors, whose sum is σ = 492039835560. Its totient is φ = 30582988800.

The previous prime is 126155462399. The next prime is 126155462413. The reversal of 126155462400 is 4264551621.

126155462400 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 554 + 62 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534046 + ... + 733154.

Almost surely, 2^126155462400 is an apocalyptic number.

126155462400 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 126155462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246019917780).

126155462400 is an abundant number, since it is smaller than the sum of its proper divisors (365884373160).

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

126155462400 is a wasteful number, since it uses less digits than its factorization.

126155462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199152 (or 199130 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 126155462400 in words is "one hundred twenty-six billion, one hundred fifty-five million, four hundred sixty-two thousand, four hundred".