149689296 has 100 divisors (see below), whose sum is σ = 456121600. Its totient is φ = 47262528.

The previous prime is 149689291. The next prime is 149689307. The reversal of 149689296 is 692986941.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149689291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21585 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (4561216).

Almost surely, 2^149689296 is an apocalyptic number.

149689296 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 149689296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228060800).

149689296 is an abundant number, since it is smaller than the sum of its proper divisors (306432304).

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

149689296 is a wasteful number, since it uses less digits than its factorization.

149689296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6103 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 149689296 is about 12234.7577009110. The cubic root of 149689296 is about 530.9621729254.

The spelling of 149689296 in words is "one hundred forty-nine million, six hundred eighty-nine thousand, two hundred ninety-six".