150129504 has 192 divisors, whose sum is σ = 507386880. Its totient is φ = 42301440.

The previous prime is 150129451. The next prime is 150129509. The reversal of 150129504 is 405921051.

150129504 is a `hidden beast` number, since 150 + 1 + 2 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150129509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622824 + ... + 623064.

It is an arithmetic number, because the mean of its divisors is an integer number (2642640).

Almost surely, 2^150129504 is an apocalyptic number.

150129504 is a gapful number since it is divisible by the number (14) 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 150129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253693440).

150129504 is an abundant number, since it is smaller than the sum of its proper divisors (357257376).

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

150129504 is a wasteful number, since it uses less digits than its factorization.

150129504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 150129504 is about 12252.7345519276. The cubic root of 150129504 is about 531.4821500908.

The spelling of 150129504 in words is "one hundred fifty million, one hundred twenty-nine thousand, five hundred four".