148631590440 has 256 divisors, whose sum is σ = 500090803200. Its totient is φ = 39264196608.

The previous prime is 148631590439. The next prime is 148631590447. The reversal of 148631590440 is 44095136841.

148631590440 is a `hidden beast` number, since 1 + 4 + 8 + 631 + 5 + 9 + 0 + 4 + 4 + 0 = 666.

148631590440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (148631590447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112005057 + ... + 112006383.

It is an arithmetic number, because the mean of its divisors is an integer number (1953479700).

Almost surely, 2^148631590440 is an apocalyptic number.

148631590440 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 148631590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250045401600).

148631590440 is an abundant number, since it is smaller than the sum of its proper divisors (351459212760).

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

148631590440 is a wasteful number, since it uses less digits than its factorization.

148631590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148631590440 in words is "one hundred forty-eight billion, six hundred thirty-one million, five hundred ninety thousand, four hundred forty".