148517131392 has 320 divisors, whose sum is σ = 513421275840. Its totient is φ = 41736591360.

The previous prime is 148517131381. The next prime is 148517131421. The reversal of 148517131392 is 293131715841.

148517131392 is a `hidden beast` number, since 1 + 4 + 85 + 171 + 313 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4410363 + ... + 4443909.

It is an arithmetic number, because the mean of its divisors is an integer number (1604441487).

Almost surely, 2^148517131392 is an apocalyptic number.

148517131392 is a gapful number since it is divisible by the number (12) 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 148517131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256710637920).

148517131392 is an abundant number, since it is smaller than the sum of its proper divisors (364904144448).

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

148517131392 is an equidigital number, since it uses as much as digits as its factorization.

148517131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33641 (or 33620 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 148517131392 in words is "one hundred forty-eight billion, five hundred seventeen million, one hundred thirty-one thousand, three hundred ninety-two".