148157268480 has 1600 divisors, whose sum is σ = 626611331808. Its totient is φ = 33124515840.

The previous prime is 148157268451. The next prime is 148157268503. The reversal of 148157268480 is 84862751841.

148157268480 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 572 + 68 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1106493696 + 147050774784 = 33264^2 + 383472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2428807650 + ... + 2428807710.

Almost surely, 2^148157268480 is an apocalyptic number.

148157268480 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 148157268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313305665904).

148157268480 is an abundant number, since it is smaller than the sum of its proper divisors (478454063328).

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

148157268480 is a wasteful number, since it uses less digits than its factorization.

148157268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 148157268480 in words is "one hundred forty-eight billion, one hundred fifty-seven million, two hundred sixty-eight thousand, four hundred eighty".