149380208640 has 1152 divisors, whose sum is σ = 604304064000. Its totient is φ = 34918760448.

The previous prime is 149380208623. The next prime is 149380208641. The reversal of 149380208640 is 46802083941.

It is a happy number.

149380208640 is a `hidden beast` number, since 1 + 4 + 9 + 380 + 208 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149380208641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074677691 + ... + 1074677829.

It is an arithmetic number, because the mean of its divisors is an integer number (524569500).

Almost surely, 2^149380208640 is an apocalyptic number.

149380208640 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 149380208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302152032000).

149380208640 is an abundant number, since it is smaller than the sum of its proper divisors (454923855360).

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

149380208640 is a wasteful number, since it uses less digits than its factorization.

149380208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149380208640 in words is "one hundred forty-nine billion, three hundred eighty million, two hundred eight thousand, six hundred forty".