150435379600 has 405 divisors, whose sum is σ = 416879865507. Its totient is φ = 52128384000.

The previous prime is 150435379597. The next prime is 150435379631. The reversal of 150435379600 is 6973534051.

The square root of 150435379600 is 387860.

It is a perfect power (a square), and thus also a powerful number.

150435379600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63320676496 + 87114703104 = 251636^2 + 295152^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3498497179 + ... + 3498497221.

Almost surely, 2^150435379600 is an apocalyptic number.

150435379600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150435379600 is the 387860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150435379600

150435379600 is an abundant number, since it is smaller than the sum of its proper divisors (266444485907).

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

150435379600 is a wasteful number, since it uses less digits than its factorization.

150435379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

It can be divided in two parts, 150435 and 379600, that added together give a palindrome (530035).

The spelling of 150435379600 in words is "one hundred fifty billion, four hundred thirty-five million, three hundred seventy-nine thousand, six hundred".