150634501272 has 144 divisors (see below), whose sum is σ = 436504450200. Its totient is φ = 46916997120.

The previous prime is 150634501271. The next prime is 150634501273. The reversal of 150634501272 is 272105436051.

150634501272 is a `hidden beast` number, since 1 + 5 + 0 + 634 + 5 + 0 + 12 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (150634501271) and next prime (150634501273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150634501271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2866272 + ... + 2918352.

Almost surely, 2^150634501272 is an apocalyptic number.

150634501272 is a gapful number since it is divisible by the number (12) 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 150634501272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218252225100).

150634501272 is an abundant number, since it is smaller than the sum of its proper divisors (285869948928).

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

150634501272 is a wasteful number, since it uses less digits than its factorization.

150634501272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52266 (or 52242 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 150634501272 in words is "one hundred fifty billion, six hundred thirty-four million, five hundred one thousand, two hundred seventy-two".