148893358310160 has 320 divisors, whose sum is σ = 487997516160000. Its totient is φ = 37450204968960.

The previous prime is 148893358310129. The next prime is 148893358310219. The reversal of 148893358310160 is 61013853398841.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 148893358310094 and 148893358310103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1048687975 + ... + 1048829945.

It is an arithmetic number, because the mean of its divisors is an integer number (1524992238000).

Almost surely, 2^{148893358310160} is an apocalyptic number.

148893358310160 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 148893358310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243998758080000).

148893358310160 is an abundant number, since it is smaller than the sum of its proper divisors (339104157849840).

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

148893358310160 is a wasteful number, since it uses less digits than its factorization.

148893358310160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143014 (or 143008 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 148893358310160 in words is "one hundred forty-eight trillion, eight hundred ninety-three billion, three hundred fifty-eight million, three hundred ten thousand, one hundred sixty".