149950592 has 64 divisors (see below), whose sum is σ = 327909600. Its totient is φ = 67737600.

The previous prime is 149950583. The next prime is 149950607. The reversal of 149950592 is 295059941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395459 + ... + 395837.

Almost surely, 2^149950592 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 149950592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163954800).

149950592 is an abundant number, since it is smaller than the sum of its proper divisors (177959008).

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

149950592 is a wasteful number, since it uses less digits than its factorization.

With its successor (149950593) it forms an eRAP, since the sums of their prime factors are consecutive (685 and 686).

149950592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 44.

The square root of 149950592 is about 12245.4314746358. The cubic root of 149950592 is about 531.2709405909.

The spelling of 149950592 in words is "one hundred forty-nine million, nine hundred fifty thousand, five hundred ninety-two".