148801536 has 288 divisors, whose sum is σ = 500834880. Its totient is φ = 43794432.

The previous prime is 148801511. The next prime is 148801537. The reversal of 148801536 is 635108841.

148801536 is a `hidden beast` number, since 1 + 48 + 80 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148801536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148801537) 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, 6469621 + ... + 6469643.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2^148801536 is an apocalyptic number.

148801536 is a gapful number since it is divisible by the number (16) 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 148801536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

148801536 is an abundant number, since it is smaller than the sum of its proper divisors (352033344).

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

148801536 is an equidigital number, since it uses as much as digits as its factorization.

148801536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 148801536 is about 12198.4235046993. The cubic root of 148801536 is about 529.9104346099.

The spelling of 148801536 in words is "one hundred forty-eight million, eight hundred one thousand, five hundred thirty-six".