151620215040 has 576 divisors, whose sum is σ = 616473016320. Its totient is φ = 34567741440.

The previous prime is 151620214979. The next prime is 151620215041. The reversal of 151620215040 is 40512026151.

151620215040 is a `hidden beast` number, since 15 + 1 + 620 + 21 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151620214995 and 151620215013.

It is not an unprimeable number, because it can be changed into a prime (151620215041) 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 63 ways as a sum of consecutive naturals, for example, 167166267 + ... + 167167173.

Almost surely, 2^151620215040 is an apocalyptic number.

151620215040 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 151620215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308236508160).

151620215040 is an abundant number, since it is smaller than the sum of its proper divisors (464852801280).

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

151620215040 is an equidigital number, since it uses as much as digits as its factorization.

151620215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 151620215040 in words is "one hundred fifty-one billion, six hundred twenty million, two hundred fifteen thousand, forty".