151552 has 26 divisors (see below), whose sum is σ = 311258. Its totient is φ = 73728.

The previous prime is 151549. The next prime is 151553. The reversal of 151552 is 255151.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 4096 = 384^2 + 64^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4078 + ... + 4114.

2¹⁵¹⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155629).

151552 is an abundant number, since it is smaller than the sum of its proper divisors (159706).

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

151552 is an frugal number, since it uses more digits than its factorization.

151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its digits is 250, while the sum is 19.

The square root of 151552 is about 389.2968019391. The cubic root of 151552 is about 53.3155496263.

It can be divided in two parts, 151 and 552, that added together give a triangular number (703 = T₃₇).

The spelling of 151552 in words is "one hundred fifty-one thousand, five hundred fifty-two".