147961632 has 96 divisors (see below), whose sum is σ = 478058112. Its totient is φ = 39020544.

The previous prime is 147961621. The next prime is 147961651. The reversal of 147961632 is 236169741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (4979772).

Almost surely, 2^147961632 is an apocalyptic number.

147961632 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 147961632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239029056).

147961632 is an abundant number, since it is smaller than the sum of its proper divisors (330096480).

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

147961632 is a wasteful number, since it uses less digits than its factorization.

147961632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16970 (or 16962 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 147961632 is about 12163.9480432958. The cubic root of 147961632 is about 528.9115337881.

The spelling of 147961632 in words is "one hundred forty-seven million, nine hundred sixty-one thousand, six hundred thirty-two".