148124400 has 240 divisors, whose sum is σ = 515618784. Its totient is φ = 36208640.

The previous prime is 148124369. The next prime is 148124407. The reversal of 148124400 is 4421841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148124407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081132 + ... + 1081268.

Almost surely, 2^148124400 is an apocalyptic number.

148124400 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 148124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257809392).

148124400 is an abundant number, since it is smaller than the sum of its proper divisors (367494384).

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

148124400 is a wasteful number, since it uses less digits than its factorization.

148124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 148124400 is about 12170.6367951722. The cubic root of 148124400 is about 529.1054091020.

The spelling of 148124400 in words is "one hundred forty-eight million, one hundred twenty-four thousand, four hundred".