149201303328 has 576 divisors, whose sum is σ = 538218390528. Its totient is φ = 38084290560.

The previous prime is 149201303323. The next prime is 149201303389. The reversal of 149201303328 is 823303102941.

149201303328 is a `hidden beast` number, since 1 + 4 + 9 + 20 + 1 + 303 + 328 = 666.

It is a super-2 number, since 2×149201303328² (a number of 23 digits) contains 22 as substring.

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 = 149201303292 and 149201303301.

It is not an unprimeable number, because it can be changed into a prime (149201303323) 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, 538632726 + ... + 538633002.

It is an arithmetic number, because the mean of its divisors is an integer number (934406928).

Almost surely, 2^149201303328 is an apocalyptic number.

149201303328 is a gapful number since it is divisible by the number (18) 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 149201303328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269109195264).

149201303328 is an abundant number, since it is smaller than the sum of its proper divisors (389017087200).

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

149201303328 is a wasteful number, since it uses less digits than its factorization.

149201303328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 149201303328 in words is "one hundred forty-nine billion, two hundred one million, three hundred three thousand, three hundred twenty-eight".