148000007711520 has 576 divisors, whose sum is σ = 563432517648000. Its totient is φ = 35157057896448.

The previous prime is 148000007711513. The next prime is 148000007711581. The reversal of 148000007711520 is 25117700000841.

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 95 ways as a sum of consecutive naturals, for example, 497064451 + ... + 497362109.

It is an arithmetic number, because the mean of its divisors is an integer number (978181454250).

Almost surely, 2^{148000007711520} is an apocalyptic number.

148000007711520 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 148000007711520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281716258824000).

148000007711520 is an abundant number, since it is smaller than the sum of its proper divisors (415432509936480).

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

148000007711520 is a wasteful number, since it uses less digits than its factorization.

148000007711520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298785 (or 298774 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 148000007711520 in words is "one hundred forty-eight trillion, seven million, seven hundred eleven thousand, five hundred twenty".