151536 has 80 divisors (see below), whose sum is σ = 499968. Its totient is φ = 38400.

The previous prime is 151531. The next prime is 151537. The reversal of 151536 is 635151.

151536 = T₁₅ + T₁₆ + ... + T₉₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151531) by changing a digit.

151536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3676 + ... + 3716.

2¹⁵¹⁵³⁶ is an apocalyptic number.

151536 is a gapful number since it is divisible by the number (16) 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 151536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

151536 is an abundant number, since it is smaller than the sum of its proper divisors (348432).

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

151536 is a wasteful number, since it uses less digits than its factorization.

151536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 151536 is about 389.2762515233. The cubic root of 151536 is about 53.3136733093.

Adding to 151536 its reverse (635151), we get a palindrome (786687).

It can be divided in two parts, 1515 and 36, that added together give a palindrome (1551).

The spelling of 151536 in words is "one hundred fifty-one thousand, five hundred thirty-six".