149864100 has 72 divisors (see below), whose sum is σ = 437680320. Its totient is φ = 39588480.

The previous prime is 149864069. The next prime is 149864107. The reversal of 149864100 is 1468941.

It is not an unprimeable number, because it can be changed into a prime (149864107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30409 + ... + 34991.

Almost surely, 2^149864100 is an apocalyptic number.

149864100 is a gapful number since it is divisible by the number (10) 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 149864100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218840160).

149864100 is an abundant number, since it is smaller than the sum of its proper divisors (287816220).

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

149864100 is a wasteful number, since it uses less digits than its factorization.

149864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 149864100 is about 12241.8993624356. The cubic root of 149864100 is about 531.1687746636.

The spelling of 149864100 in words is "one hundred forty-nine million, eight hundred sixty-four thousand, one hundred".