149624307840 has 256 divisors, whose sum is σ = 547472286720. Its totient is φ = 34048487424.

The previous prime is 149624307829. The next prime is 149624307901. The reversal of 149624307840 is 48703426941.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149624307840.

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, 3026359 + ... + 3075401.

It is an arithmetic number, because the mean of its divisors is an integer number (2138563620).

Almost surely, 2^149624307840 is an apocalyptic number.

149624307840 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 149624307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273736143360).

149624307840 is an abundant number, since it is smaller than the sum of its proper divisors (397847978880).

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

149624307840 is a wasteful number, since it uses less digits than its factorization.

149624307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299 (or 49287 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 149624307840 in words is "one hundred forty-nine billion, six hundred twenty-four million, three hundred seven thousand, eight hundred forty".