148001455408320 has 672 divisors, whose sum is σ = 524853927793728. Its totient is φ = 38251362779136.

The previous prime is 148001455408253. The next prime is 148001455408351. The reversal of 148001455408320 is 23804554100841.

148001455408320 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 0 + 1 + 4 + 5 + 540 + 83 + 20 = 666.

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

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, 69256646292 + ... + 69256648428.

Almost surely, 2^{148001455408320} is an apocalyptic number.

148001455408320 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 148001455408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262426963896864).

148001455408320 is an abundant number, since it is smaller than the sum of its proper divisors (376852472385408).

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

148001455408320 is a wasteful number, since it uses less digits than its factorization.

148001455408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 148001455408320 in words is "one hundred forty-eight trillion, one billion, four hundred fifty-five million, four hundred eight thousand, three hundred twenty".