147461151240 has 320 divisors, whose sum is σ = 548190664560. Its totient is φ = 35316725760.

The previous prime is 147461151191. The next prime is 147461151259. The reversal of 147461151240 is 42151164741.

147461151240 is a `hidden beast` number, since 1 + 4 + 7 + 461 + 151 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32666224644 + 114794926596 = 180738^2 + 338814^2 .

It is a super-2 number, since 2×147461151240² (a number of 23 digits) contains 22 as substring.

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 = 147461151195 and 147461151204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1511130 + ... + 1605750.

Almost surely, 2^147461151240 is an apocalyptic number.

147461151240 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 147461151240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274095332280).

147461151240 is an abundant number, since it is smaller than the sum of its proper divisors (400729513320).

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

147461151240 is a wasteful number, since it uses less digits than its factorization.

147461151240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94694 (or 94681 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 147461151240 in words is "one hundred forty-seven billion, four hundred sixty-one million, one hundred fifty-one thousand, two hundred forty".