148780800 has 540 divisors, whose sum is σ = 644031696. Its totient is φ = 33177600.

The previous prime is 148780781. The next prime is 148780829. The reversal of 148780800 is 8087841.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628780 + ... + 3628820.

Almost surely, 2^148780800 is an apocalyptic number.

148780800 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 148780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322015848).

148780800 is an abundant number, since it is smaller than the sum of its proper divisors (495250896).

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

148780800 is an equidigital number, since it uses as much as digits as its factorization.

148780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 148780800 is about 12197.5735291901. The cubic root of 148780800 is about 529.8858185262.

The spelling of 148780800 in words is "one hundred forty-eight million, seven hundred eighty thousand, eight hundred".