150352131400000 has 84 divisors (see below), whose sum is σ = 372919895528796. Its totient is φ = 60140852480000.

The previous prime is 150352131399949. The next prime is 150352131400001. The reversal of 150352131400000 is 4131253051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 114507291852864 + 35844839547136 = 10700808^2 + 5987056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150352131400001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375680329 + ... + 376080328.

It is an arithmetic number, because the mean of its divisors is an integer number (4439522565819).

Almost surely, 2^{150352131400000} is an apocalyptic number.

150352131400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150352131400000 is an abundant number, since it is smaller than the sum of its proper divisors (222567764128796).

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

150352131400000 is an frugal number, since it uses more digits than its factorization.

150352131400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751760694 (or 751760664 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 150352131400000 its reverse (4131253051), we get a palindrome (150356262653051).

The spelling of 150352131400000 in words is "one hundred fifty trillion, three hundred fifty-two billion, one hundred thirty-one million, four hundred thousand".