148226400 has 432 divisors, whose sum is σ = 636146784. Its totient is φ = 31703040.

The previous prime is 148226389. The next prime is 148226411. The reversal of 148226400 is 4622841.

148226400 is a `hidden beast` number, since 14 + 8 + 2 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148226389) and next prime (148226411).

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 71 ways as a sum of consecutive naturals, for example, 856714 + ... + 856886.

It is an arithmetic number, because the mean of its divisors is an integer number (1472562).

Almost surely, 2^148226400 is an apocalyptic number.

148226400 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 148226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318073392).

148226400 is an abundant number, since it is smaller than the sum of its proper divisors (487920384).

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

148226400 is a wasteful number, since it uses less digits than its factorization.

148226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 148226400 is about 12174.8264874700. The cubic root of 148226400 is about 529.2268303953.

The spelling of 148226400 in words is "one hundred forty-eight million, two hundred twenty-six thousand, four hundred".