150629820 has 96 divisors (see below), whose sum is σ = 462502656. Its totient is φ = 36326400.

The previous prime is 150629819. The next prime is 150629821. The reversal of 150629820 is 28926051.

It is an interprime number because it is at equal distance from previous prime (150629819) and next prime (150629821).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150629821) 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 31 ways as a sum of consecutive naturals, for example, 158587 + ... + 159533.

It is an arithmetic number, because the mean of its divisors is an integer number (4817736).

Almost surely, 2^150629820 is an apocalyptic number.

150629820 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 150629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231251328).

150629820 is an abundant number, since it is smaller than the sum of its proper divisors (311872836).

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

150629820 is a wasteful number, since it uses less digits than its factorization.

150629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 150629820 is about 12273.1340740660. The cubic root of 150629820 is about 532.0718946687.

The spelling of 150629820 in words is "one hundred fifty million, six hundred twenty-nine thousand, eight hundred twenty".