151362277920 has 864 divisors, whose sum is σ = 639095184000. Its totient is φ = 32518112256.

The previous prime is 151362277907. The next prime is 151362277931. The reversal of 151362277920 is 29772263151.

It is a happy number.

151362277920 is a `hidden beast` number, since 1 + 5 + 13 + 622 + 7 + 7 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1191828897 + ... + 1191829023.

It is an arithmetic number, because the mean of its divisors is an integer number (739693500).

Almost surely, 2^151362277920 is an apocalyptic number.

151362277920 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 151362277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319547592000).

151362277920 is an abundant number, since it is smaller than the sum of its proper divisors (487732906080).

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

151362277920 is a wasteful number, since it uses less digits than its factorization.

151362277920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 151362277920 in words is "one hundred fifty-one billion, three hundred sixty-two million, two hundred seventy-seven thousand, nine hundred twenty".