150212132532 has 1344 divisors, whose sum is σ = 571144089600. Its totient is φ = 33338511360.

The previous prime is 150212132513. The next prime is 150212132573. The reversal of 150212132532 is 235231212051.

150212132532 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 121 + 3 + 2 + 532 = 666.

It is a super-2 number, since 2×150212132532² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150212132496 and 150212132505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2545968319 + ... + 2545968377.

It is an arithmetic number, because the mean of its divisors is an integer number (424958400).

Almost surely, 2^150212132532 is an apocalyptic number.

150212132532 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 150212132532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285572044800).

150212132532 is an abundant number, since it is smaller than the sum of its proper divisors (420931957068).

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

150212132532 is a wasteful number, since it uses less digits than its factorization.

150212132532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 150212132532 its reverse (235231212051), we get a palindrome (385443344583).

The spelling of 150212132532 in words is "one hundred fifty billion, two hundred twelve million, one hundred thirty-two thousand, five hundred thirty-two".