149872101120 has 288 divisors, whose sum is σ = 607815613440. Its totient is φ = 34256424960.

The previous prime is 149872101103. The next prime is 149872101131. The reversal of 149872101120 is 21101278941.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 67836 + ... + 551675.

It is an arithmetic number, because the mean of its divisors is an integer number (2110470880).

Almost surely, 2^149872101120 is an apocalyptic number.

149872101120 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 149872101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303907806720).

149872101120 is an abundant number, since it is smaller than the sum of its proper divisors (457943512320).

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

149872101120 is an equidigital number, since it uses as much as digits as its factorization.

149872101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619548 (or 619528 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 149872101120 in words is "one hundred forty-nine billion, eight hundred seventy-two million, one hundred one thousand, one hundred twenty".