149956076240 has 40 divisors (see below), whose sum is σ = 349682503560. Its totient is φ = 59804430336.

The previous prime is 149956076233. The next prime is 149956076243. The reversal of 149956076240 is 42670659941.

149956076240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5063176336 + 144892899904 = 71156^2 + 380648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149956076243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2754125 + ... + 2808044.

It is an arithmetic number, because the mean of its divisors is an integer number (8742062589).

Almost surely, 2^149956076240 is an apocalyptic number.

149956076240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149956076240 is an abundant number, since it is smaller than the sum of its proper divisors (199726427320).

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

149956076240 is a wasteful number, since it uses less digits than its factorization.

149956076240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562519 (or 5562513 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 149956076240 in words is "one hundred forty-nine billion, nine hundred fifty-six million, seventy-six thousand, two hundred forty".