147552 has 48 divisors (see below), whose sum is σ = 408240. Its totient is φ = 46592.

The previous prime is 147551. The next prime is 147557. The reversal of 147552 is 255741.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147552.

It is not an unprimeable number, because it can be changed into a prime (147551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2758 + ... + 2810.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹⁴⁷⁵⁵² is an apocalyptic number.

147552 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 147552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120).

147552 is an abundant number, since it is smaller than the sum of its proper divisors (260688).

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

147552 is a wasteful number, since it uses less digits than its factorization.

147552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 147552 is about 384.1249796616. The cubic root of 147552 is about 52.8422985203.

The spelling of 147552 in words is "one hundred forty-seven thousand, five hundred fifty-two".