149416736 has 48 divisors (see below), whose sum is σ = 339220224. Its totient is φ = 63458304.

The previous prime is 149416727. The next prime is 149416739. The reversal of 149416736 is 637614941.

149416736 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 = 149416693 and 149416702.

It is not an unprimeable number, because it can be changed into a prime (149416739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22361 + ... + 28263.

It is an arithmetic number, because the mean of its divisors is an integer number (7067088).

Almost surely, 2^149416736 is an apocalyptic number.

149416736 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 149416736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169610112).

149416736 is an abundant number, since it is smaller than the sum of its proper divisors (189803488).

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

149416736 is a wasteful number, since it uses less digits than its factorization.

149416736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6025 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 149416736 is about 12223.6138682470. The cubic root of 149416736 is about 530.6397117133.

The spelling of 149416736 in words is "one hundred forty-nine million, four hundred sixteen thousand, seven hundred thirty-six".