148887072 has 144 divisors (see below), whose sum is σ = 450751392. Its totient is φ = 48314880.

The previous prime is 148887061. The next prime is 148887083. The reversal of 148887072 is 270788841.

148887072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148887061) and next prime (148887083).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318583 + ... + 319049.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^148887072 is an apocalyptic number.

148887072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

148887072 is the 9963-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696).

148887072 is an abundant number, since it is smaller than the sum of its proper divisors (301864320).

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

148887072 is an equidigital number, since it uses as much as digits as its factorization.

148887072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 148887072 is about 12201.9290278218. The cubic root of 148887072 is about 530.0119517893.

The spelling of 148887072 in words is "one hundred forty-eight million, eight hundred eighty-seven thousand, seventy-two".