149813328101472 has 1344 divisors, whose sum is σ = 518355145211904. Its totient is φ = 41725289410560.

The previous prime is 149813328101461. The next prime is 149813328101477. The reversal of 149813328101472 is 274101823318941.

It is a happy number.

149813328101472 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 133 + 28 + 10 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149813328101477) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 401644311078 + ... + 401644311450.

It is an arithmetic number, because the mean of its divisors is an integer number (385680911616).

Almost surely, 2^{149813328101472} is an apocalyptic number.

149813328101472 is a gapful number since it is divisible by the number (12) 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 149813328101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259177572605952).

149813328101472 is an abundant number, since it is smaller than the sum of its proper divisors (368541817110432).

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

149813328101472 is a wasteful number, since it uses less digits than its factorization.

149813328101472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 149813328101472 in words is "one hundred forty-nine trillion, eight hundred thirteen billion, three hundred twenty-eight million, one hundred one thousand, four hundred seventy-two".