147537205920 has 384 divisors, whose sum is σ = 565231322880. Its totient is φ = 35720663040.

The previous prime is 147537205913. The next prime is 147537205927. The reversal of 147537205920 is 29502735741.

It is a happy number.

147537205920 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 37 + 20 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (147537205913) and next prime (147537205927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (147537205927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3404227 + ... + 3447293.

It is an arithmetic number, because the mean of its divisors is an integer number (1471956570).

Almost surely, 2^147537205920 is an apocalyptic number.

147537205920 is a gapful number since it is divisible by the number (10) 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 147537205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282615661440).

147537205920 is an abundant number, since it is smaller than the sum of its proper divisors (417694116960).

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

147537205920 is a wasteful number, since it uses less digits than its factorization.

147537205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43165 (or 43151 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 147537205920 in words is "one hundred forty-seven billion, five hundred thirty-seven million, two hundred five thousand, nine hundred twenty".