148101408 has 144 divisors (see below), whose sum is σ = 518446656. Its totient is φ = 39052800.

The previous prime is 148101407. The next prime is 148101419. The reversal of 148101408 is 804101841.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (148101407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23383 + ... + 29033.

It is an arithmetic number, because the mean of its divisors is an integer number (3600324).

Almost surely, 2^148101408 is an apocalyptic number.

148101408 is a gapful number since it is divisible by the number (18) 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 148101408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259223328).

148101408 is an abundant number, since it is smaller than the sum of its proper divisors (370345248).

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

148101408 is a wasteful number, since it uses less digits than its factorization.

148101408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 148101408 is about 12169.6921900268. The cubic root of 148101408 is about 529.0780316160.

The spelling of 148101408 in words is "one hundred forty-eight million, one hundred one thousand, four hundred eight".