148156800 has 384 divisors, whose sum is σ = 564606720. Its totient is φ = 33792000.

The previous prime is 148156763. The next prime is 148156849. The reversal of 148156800 is 8651841.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428770 + ... + 2428830.

It is an arithmetic number, because the mean of its divisors is an integer number (1470330).

Almost surely, 2^148156800 is an apocalyptic number.

148156800 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 148156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282303360).

148156800 is an abundant number, since it is smaller than the sum of its proper divisors (416449920).

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

148156800 is a wasteful number, since it uses less digits than its factorization.

148156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 148156800 is about 12171.9677948966. The cubic root of 148156800 is about 529.1439842579.

The spelling of 148156800 in words is "one hundred forty-eight million, one hundred fifty-six thousand, eight hundred".