1488138132 has 192 divisors, whose sum is σ = 4054095360. Its totient is φ = 421478400.

The previous prime is 1488138107. The next prime is 1488138137. The reversal of 1488138132 is 2318318841.

1488138132 is digitally balanced in base 4, 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488138137) 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, 13169308 + ... + 13169420.

It is an arithmetic number, because the mean of its divisors is an integer number (21115080).

Almost surely, 2^1488138132 is an apocalyptic number.

1488138132 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 1488138132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027047680).

1488138132 is an abundant number, since it is smaller than the sum of its proper divisors (2565957228).

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

1488138132 is a wasteful number, since it uses less digits than its factorization.

1488138132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 1488138132 is about 38576.3934550652. The cubic root of 1488138132 is about 1141.6888203940.

The spelling of 1488138132 in words is "one billion, four hundred eighty-eight million, one hundred thirty-eight thousand, one hundred thirty-two".