148742415360 has 1584 divisors, whose sum is σ = 671384034048. Its totient is φ = 29780213760.

The previous prime is 148742415329. The next prime is 148742415389. The reversal of 148742415360 is 63514247841.

148742415360 is a `hidden beast` number, since 1 + 4 + 8 + 74 + 2 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×148742415360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1444101069 + ... + 1444101171.

Almost surely, 2^148742415360 is an apocalyptic number.

148742415360 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 148742415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335692017024).

148742415360 is an abundant number, since it is smaller than the sum of its proper divisors (522641618688).

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

148742415360 is a wasteful number, since it uses less digits than its factorization.

148742415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 148742415360 in words is "one hundred forty-eight billion, seven hundred forty-two million, four hundred fifteen thousand, three hundred sixty".