148226500800 has 1008 divisors, whose sum is σ = 631467083520. Its totient is φ = 33497763840.

The previous prime is 148226500771. The next prime is 148226500841. The reversal of 148226500800 is 8005622841.

148226500800 is a `hidden beast` number, since 148 + 2 + 2 + 6 + 500 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291210946 + ... + 291211454.

It is an arithmetic number, because the mean of its divisors is an integer number (626455440).

Almost surely, 2^148226500800 is an apocalyptic number.

148226500800 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 148226500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315733541760).

148226500800 is an abundant number, since it is smaller than the sum of its proper divisors (483240582720).

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

148226500800 is a wasteful number, since it uses less digits than its factorization.

148226500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 148226500800 in words is "one hundred forty-eight billion, two hundred twenty-six million, five hundred thousand, eight hundred".