147961512 has 128 divisors (see below), whose sum is σ = 446976000. Its totient is φ = 45178560.

The previous prime is 147961511. The next prime is 147961529. The reversal of 147961512 is 215169741.

147961512 is a `hidden beast` number, since 14 + 79 + 61 + 512 = 666.

It is a super-2 number, since 2×147961512² = 43785218066652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147961511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126643 + ... + 127805.

It is an arithmetic number, because the mean of its divisors is an integer number (3492000).

Almost surely, 2^147961512 is an apocalyptic number.

147961512 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 147961512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223488000).

147961512 is an abundant number, since it is smaller than the sum of its proper divisors (299014488).

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

147961512 is a wasteful number, since it uses less digits than its factorization.

147961512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 147961512 is about 12163.9431106858. The cubic root of 147961512 is about 528.9113908019.

The spelling of 147961512 in words is "one hundred forty-seven million, nine hundred sixty-one thousand, five hundred twelve".