148545600 has 168 divisors, whose sum is σ = 557101248. Its totient is φ = 33945600.

The previous prime is 148545599. The next prime is 148545611. The reversal of 148545600 is 6545841.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×148545600³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31390 + ... + 35810.

Almost surely, 2^148545600 is an apocalyptic number.

148545600 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 148545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278550624).

148545600 is an abundant number, since it is smaller than the sum of its proper divisors (408555648).

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

148545600 is a wasteful number, since it uses less digits than its factorization.

148545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 148545600 is about 12187.9284540073. The cubic root of 148545600 is about 529.6064480797.

The spelling of 148545600 in words is "one hundred forty-eight million, five hundred forty-five thousand, six hundred".