148131238993920 has 8960 divisors, whose sum is σ = 767309469696000. Its totient is φ = 26968451973120.

The previous prime is 148131238993867. The next prime is 148131238993967. The reversal of 148131238993920 is 29399832131841.

148131238993920 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 3 + 1 + 238 + 9 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4778427064305 + ... + 4778427064335.

It is an arithmetic number, because the mean of its divisors is an integer number (85637217600).

Almost surely, 2^{148131238993920} is an apocalyptic number.

148131238993920 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 148131238993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383654734848000).

148131238993920 is an abundant number, since it is smaller than the sum of its proper divisors (619178230702080).

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

148131238993920 is a wasteful number, since it uses less digits than its factorization.

148131238993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 148131238993920 in words is "one hundred forty-eight trillion, one hundred thirty-one billion, two hundred thirty-eight million, nine hundred ninety-three thousand, nine hundred twenty".