151364671920 has 960 divisors, whose sum is σ = 686300359680. Its totient is φ = 29785190400.

The previous prime is 151364671919. The next prime is 151364671921. The reversal of 151364671920 is 29176463151.

151364671920 is a `hidden beast` number, since 1 + 513 + 6 + 46 + 7 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151364671919) and next prime (151364671921).

It is a super-2 number, since 2×151364671920² (a number of 23 digits) contains 22 as substring.

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 (151364671921) 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 191 ways as a sum of consecutive naturals, for example, 60040260 + ... + 60042780.

It is an arithmetic number, because the mean of its divisors is an integer number (714896208).

Almost surely, 2^151364671920 is an apocalyptic number.

151364671920 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 151364671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343150179840).

151364671920 is an abundant number, since it is smaller than the sum of its proper divisors (534935687760).

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

151364671920 is a wasteful number, since it uses less digits than its factorization.

151364671920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 151364671920 in words is "one hundred fifty-one billion, three hundred sixty-four million, six hundred seventy-one thousand, nine hundred twenty".