126133899840 has 1120 divisors, whose sum is σ = 506995931904. Its totient is φ = 29561241600.

The previous prime is 126133899811. The next prime is 126133899883. The reversal of 126133899840 is 48998331621.

126133899840 is a `hidden beast` number, since 1 + 261 + 338 + 9 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 835323765 + ... + 835323915.

Almost surely, 2^126133899840 is an apocalyptic number.

126133899840 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 126133899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253497965952).

126133899840 is an abundant number, since it is smaller than the sum of its proper divisors (380862032064).

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

126133899840 is a wasteful number, since it uses less digits than its factorization.

126133899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 126133899840 in words is "one hundred twenty-six billion, one hundred thirty-three million, eight hundred ninety-nine thousand, eight hundred forty".