149203296 has 120 divisors (see below), whose sum is σ = 478785384. Its totient is φ = 45204480.

The previous prime is 149203291. The next prime is 149203303. The reversal of 149203296 is 692302941.

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

It is a self number, because there is not a number n which added to its sum of digits gives 149203296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149203291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25896 + ... + 31128.

Almost surely, 2^149203296 is an apocalyptic number.

149203296 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 149203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239392692).

149203296 is an abundant number, since it is smaller than the sum of its proper divisors (329582088).

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

149203296 is a wasteful number, since it uses less digits than its factorization.

149203296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 149203296 is about 12214.8801058381. The cubic root of 149203296 is about 530.3869205022.

It can be divided in two parts, 1492032 and 96, that added together give a triangular number (1492128 = T₁₇₂₇).

The spelling of 149203296 in words is "one hundred forty-nine million, two hundred three thousand, two hundred ninety-six".