149928800 has 144 divisors (see below), whose sum is σ = 429160032. Its totient is φ = 50073600.

The previous prime is 149928799. The next prime is 149928809. The reversal of 149928800 is 8829941.

149928800 = T₁₆₇ + T₁₆₈ + ... + T₉₆₆.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149928809) 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, 229274 + ... + 229926.

It is an arithmetic number, because the mean of its divisors is an integer number (2980278).

Almost surely, 2^149928800 is an apocalyptic number.

149928800 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 149928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214580016).

149928800 is an abundant number, since it is smaller than the sum of its proper divisors (279231232).

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

149928800 is a wasteful number, since it uses less digits than its factorization.

149928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 149928800 is about 12244.5416410742. The cubic root of 149928800 is about 531.2452031862.

The spelling of 149928800 in words is "one hundred forty-nine million, nine hundred twenty-eight thousand, eight hundred".