126149063040 has 2880 divisors, whose sum is σ = 648846586080. Its totient is φ = 22773104640.

The previous prime is 126149063017. The next prime is 126149063071. The reversal of 126149063040 is 40360941621.

126149063040 is a `hidden beast` number, since 1 + 2 + 6 + 14 + 9 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×126149063040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 126149062986 and 126149063004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7420533112 + ... + 7420533128.

Almost surely, 2^126149063040 is an apocalyptic number.

126149063040 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 126149063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324423293040).

126149063040 is an abundant number, since it is smaller than the sum of its proper divisors (522697523040).

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

126149063040 is a wasteful number, since it uses less digits than its factorization.

126149063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 126149063040 in words is "one hundred twenty-six billion, one hundred forty-nine million, sixty-three thousand, forty".