126050040 has 128 divisors (see below), whose sum is σ = 423936000. Its totient is φ = 33312384.

The previous prime is 126050039. The next prime is 126050069. The reversal of 126050040 is 40050621.

It is a happy number.

126050040 is a `hidden beast` number, since 126 + 0 + 500 + 40 = 666.

It is a super-2 number, since 2×126050040² = 31777225168003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126049995 and 126050022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136701 + ... + 137619.

It is an arithmetic number, because the mean of its divisors is an integer number (3312000).

Almost surely, 2^126050040 is an apocalyptic number.

126050040 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 126050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211968000).

126050040 is an abundant number, since it is smaller than the sum of its proper divisors (297885960).

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

126050040 is a wasteful number, since it uses less digits than its factorization.

126050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126050040 is about 11227.2008978195. The cubic root of 126050040 is about 501.3961512283.

The spelling of 126050040 in words is "one hundred twenty-six million, fifty thousand, forty".