126333765090 has 48 divisors (see below), whose sum is σ = 353734545528. Its totient is φ = 31097541888.

The previous prime is 126333765079. The next prime is 126333765139. The reversal of 126333765090 is 90567333621.

126333765090 is a `hidden beast` number, since 1 + 2 + 633 + 3 + 7 + 6 + 5 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82149304689 + 44184460401 = 286617^2 + 210201^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53987619 + ... + 53989958.

Almost surely, 2^126333765090 is an apocalyptic number.

126333765090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126333765090 is an abundant number, since it is smaller than the sum of its proper divisors (227400780438).

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

126333765090 is a wasteful number, since it uses less digits than its factorization.

126333765090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107977603 (or 107977600 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 126333765090 in words is "one hundred twenty-six billion, three hundred thirty-three million, seven hundred sixty-five thousand, ninety".