149947688255040 has 280 divisors, whose sum is σ = 574420331700600. Its totient is φ = 36910200102912.

The previous prime is 149947688255021. The next prime is 149947688255051. The reversal of 149947688255040 is 40552886749941.

It is a happy number.

149947688255040 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 4 + 7 + 68 + 8 + 2 + 550 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1654331019264 + 148293357235776 = 1286208^2 + 12177576^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 149947688255040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222163765 + ... + 222837684.

It is an arithmetic number, because the mean of its divisors is an integer number (2051501184645).

Almost surely, 2^{149947688255040} is an apocalyptic number.

149947688255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149947688255040 is an abundant number, since it is smaller than the sum of its proper divisors (424472643445560).

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

149947688255040 is a wasteful number, since it uses less digits than its factorization.

149947688255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445001491 (or 445001472 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 149947688255040 in words is "one hundred forty-nine trillion, nine hundred forty-seven billion, six hundred eighty-eight million, two hundred fifty-five thousand, forty".