149602400640 has 1536 divisors, whose sum is σ = 696105446400. Its totient is φ = 28665446400.

The previous prime is 149602400627. The next prime is 149602400707. The reversal of 149602400640 is 46004206941.

149602400640 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 2 + 4 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149602400595 and 149602400604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345501864 + ... + 345502296.

It is an arithmetic number, because the mean of its divisors is an integer number (453193650).

Almost surely, 2^149602400640 is an apocalyptic number.

149602400640 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 149602400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052723200).

149602400640 is an abundant number, since it is smaller than the sum of its proper divisors (546503045760).

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

149602400640 is a wasteful number, since it uses less digits than its factorization.

149602400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 149602400640 in words is "one hundred forty-nine billion, six hundred two million, four hundred thousand, six hundred forty".