149806800 has 480 divisors, whose sum is σ = 632876160. Its totient is φ = 33177600.

The previous prime is 149806799. The next prime is 149806807. The reversal of 149806800 is 8608941.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149806807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544352 + ... + 1544448.

It is an arithmetic number, because the mean of its divisors is an integer number (1318492).

Almost surely, 2^149806800 is an apocalyptic number.

149806800 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 149806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316438080).

149806800 is an abundant number, since it is smaller than the sum of its proper divisors (483069360).

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

149806800 is a wasteful number, since it uses less digits than its factorization.

149806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149806800 is about 12239.5588155783. The cubic root of 149806800 is about 531.1010692099.

The spelling of 149806800 in words is "one hundred forty-nine million, eight hundred six thousand, eight hundred".