148975200 has 540 divisors, whose sum is σ = 628592580. Its totient is φ = 34214400.

The previous prime is 148975193. The next prime is 148975213. The reversal of 148975200 is 2579841.

148975200 = T₂₆₆ + T₂₆₇ + ... + T₉₆₉.

148975200 is a `hidden beast` number, since 1 + 48 + 97 + 520 + 0 = 666.

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

It is a super-2 number, since 2×148975200² = 44387220430080000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840791 + ... + 7840809.

Almost surely, 2^148975200 is an apocalyptic number.

148975200 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 148975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314296290).

148975200 is an abundant number, since it is smaller than the sum of its proper divisors (479617380).

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

148975200 is a wasteful number, since it uses less digits than its factorization.

148975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 148975200 is about 12205.5397258786. The cubic root of 148975200 is about 530.1165045886.

The spelling of 148975200 in words is "one hundred forty-eight million, nine hundred seventy-five thousand, two hundred".