148948800 has 672 divisors, whose sum is σ = 677289984. Its totient is φ = 27648000.

The previous prime is 148948799. The next prime is 148948819. The reversal of 148948800 is 8849841.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-5 number, since 5×148948800⁵ (a number of 42 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804785 + ... + 4804815.

It is an arithmetic number, because the mean of its divisors is an integer number (1007872).

Almost surely, 2^148948800 is an apocalyptic number.

148948800 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 148948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338644992).

148948800 is an abundant number, since it is smaller than the sum of its proper divisors (528341184).

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

148948800 is a wasteful number, since it uses less digits than its factorization.

148948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 148948800 is about 12204.4582018212. The cubic root of 148948800 is about 530.0851886325.

The spelling of 148948800 in words is "one hundred forty-eight million, nine hundred forty-eight thousand, eight hundred".