148001952 has 144 divisors (see below), whose sum is σ = 459188352. Its totient is φ = 41610240.

The previous prime is 148001951. The next prime is 148001969. The reversal of 148001952 is 259100841.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148001951) 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, 343177 + ... + 343607.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2^148001952 is an apocalyptic number.

148001952 is a gapful number since it is divisible by the number (12) 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 148001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229594176).

148001952 is an abundant number, since it is smaller than the sum of its proper divisors (311186400).

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

148001952 is a wasteful number, since it uses less digits than its factorization.

148001952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 148001952 is about 12165.6052870377. The cubic root of 148001952 is about 528.9595727649.

The spelling of 148001952 in words is "one hundred forty-eight million, one thousand, nine hundred fifty-two".