150400134033024 has 128 divisors (see below), whose sum is σ = 405316856119680. Its totient is φ = 49404125675520.

The previous prime is 150400134032989. The next prime is 150400134033089. The reversal of 150400134033024 is 420330431004051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 150400134032982 and 150400134033000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56972472 + ... + 59553864.

It is an arithmetic number, because the mean of its divisors is an integer number (3166537938435).

Almost surely, 2^{150400134033024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150400134033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202658428059840).

150400134033024 is an abundant number, since it is smaller than the sum of its proper divisors (254916722086656).

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

150400134033024 is a wasteful number, since it uses less digits than its factorization.

150400134033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583618 (or 2583606 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 150400134033024 its reverse (420330431004051), we get a palindrome (570730565037075).

The spelling of 150400134033024 in words is "one hundred fifty trillion, four hundred billion, one hundred thirty-four million, thirty-three thousand, twenty-four".