150129299600 has 240 divisors, whose sum is σ = 433667779200. Its totient is φ = 48854077440.

The previous prime is 150129299597. The next prime is 150129299603. The reversal of 150129299600 is 6992921051.

It is an interprime number because it is at equal distance from previous prime (150129299597) and next prime (150129299603).

It is not an unprimeable number, because it can be changed into a prime (150129299603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4775132 + ... + 4806468.

It is an arithmetic number, because the mean of its divisors is an integer number (1806949080).

Almost surely, 2^150129299600 is an apocalyptic number.

150129299600 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 150129299600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216833889600).

150129299600 is an abundant number, since it is smaller than the sum of its proper divisors (283538479600).

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

150129299600 is a wasteful number, since it uses less digits than its factorization.

150129299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31450 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 44.

The spelling of 150129299600 in words is "one hundred fifty billion, one hundred twenty-nine million, two hundred ninety-nine thousand, six hundred".