149709333952 has 112 divisors (see below), whose sum is σ = 303986082400. Its totient is φ = 73141678080.

The previous prime is 149709333877. The next prime is 149709333959. The reversal of 149709333952 is 259333907941.

It is a happy number.

149709333952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149709333893 and 149709333902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149709333959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175508758 + ... + 175509610.

It is an arithmetic number, because the mean of its divisors is an integer number (2714161450).

Almost surely, 2^149709333952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149709333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151993041200).

149709333952 is an abundant number, since it is smaller than the sum of its proper divisors (154276748448).

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

149709333952 is a wasteful number, since it uses less digits than its factorization.

149709333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 55.

The spelling of 149709333952 in words is "one hundred forty-nine billion, seven hundred nine million, three hundred thirty-three thousand, nine hundred fifty-two".