150557967450 has 288 divisors, whose sum is σ = 480522369600. Its totient is φ = 33384960000.

The previous prime is 150557967449. The next prime is 150557967457. The reversal of 150557967450 is 54769755051.

150557967450 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 579 + 67 + 4 + 5 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (150557967457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2699850 + ... + 2755050.

It is an arithmetic number, because the mean of its divisors is an integer number (1668480450).

Almost surely, 2^150557967450 is an apocalyptic number.

150557967450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150557967450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240261184800).

150557967450 is an abundant number, since it is smaller than the sum of its proper divisors (329964402150).

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

150557967450 is a wasteful number, since it uses less digits than its factorization.

150557967450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55278 (or 55270 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 150557967450 in words is "one hundred fifty billion, five hundred fifty-seven million, nine hundred sixty-seven thousand, four hundred fifty".