149953536 has 132 divisors (see below), whose sum is σ = 442594152. Its totient is φ = 48881664.

The previous prime is 149953471. The next prime is 149953553. The reversal of 149953536 is 635359941.

It is a junction number, because it is equal to n+sod(n) for n = 149953491 and 149953500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488295 + ... + 488601.

It is an arithmetic number, because the mean of its divisors is an integer number (3352986).

Almost surely, 2^149953536 is an apocalyptic number.

149953536 is a gapful number since it is divisible by the number (16) 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 149953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221297076).

149953536 is an abundant number, since it is smaller than the sum of its proper divisors (292640616).

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

149953536 is a wasteful number, since it uses less digits than its factorization.

149953536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 149953536 is about 12245.5516821416. The cubic root of 149953536 is about 531.2744174060.

The spelling of 149953536 in words is "one hundred forty-nine million, nine hundred fifty-three thousand, five hundred thirty-six".