150012429840 has 960 divisors, whose sum is σ = 668377221120. Its totient is φ = 30621265920.

The previous prime is 150012429799. The next prime is 150012429881. The reversal of 150012429840 is 48924210051.

150012429840 is a `hidden beast` number, since 1 + 500 + 1 + 24 + 2 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (150012429799) and next prime (150012429881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150012429795 and 150012429804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42651762 + ... + 42655278.

It is an arithmetic number, because the mean of its divisors is an integer number (696226272).

Almost surely, 2^150012429840 is an apocalyptic number.

150012429840 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 150012429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334188610560).

150012429840 is an abundant number, since it is smaller than the sum of its proper divisors (518364791280).

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

150012429840 is a wasteful number, since it uses less digits than its factorization.

150012429840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 150012429840 its reverse (48924210051), we get a palindrome (198936639891).

The spelling of 150012429840 in words is "one hundred fifty billion, twelve million, four hundred twenty-nine thousand, eight hundred forty".