132142511303040 has 384 divisors, whose sum is σ = 490531293986400. Its totient is φ = 30169543606272.

The previous prime is 132142511303029. The next prime is 132142511303051. The reversal of 132142511303040 is 40303115241231.

It is an interprime number because it is at equal distance from previous prime (132142511303029) and next prime (132142511303051).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132142511302989 and 132142511303007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81707376 + ... + 83308944.

Almost surely, 2^{132142511303040} is an apocalyptic number.

132142511303040 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 132142511303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245265646993200).

132142511303040 is an abundant number, since it is smaller than the sum of its proper divisors (358388782683360).

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

132142511303040 is a wasteful number, since it uses less digits than its factorization.

132142511303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602482 (or 1602463 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 132142511303040 its reverse (40303115241231), we get a palindrome (172445626544271).

The spelling of 132142511303040 in words is "one hundred thirty-two trillion, one hundred forty-two billion, five hundred eleven million, three hundred three thousand, forty".