147920351040 has 2688 divisors, whose sum is σ = 735528729600. Its totient is φ = 27249868800.

The previous prime is 147920350997. The next prime is 147920351041. The reversal of 147920351040 is 40153029741.

147920351040 is a `hidden beast` number, since 14 + 7 + 92 + 0 + 3 + 510 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 147920350986 and 147920351004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147920351041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3607813420 + ... + 3607813460.

It is an arithmetic number, because the mean of its divisors is an integer number (273634200).

Almost surely, 2^147920351040 is an apocalyptic number.

147920351040 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 147920351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367764364800).

147920351040 is an abundant number, since it is smaller than the sum of its proper divisors (587608378560).

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

147920351040 is a wasteful number, since it uses less digits than its factorization.

147920351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 147920351040 in words is "one hundred forty-seven billion, nine hundred twenty million, three hundred fifty-one thousand, forty".