151412168137920 has 336 divisors, whose sum is σ = 525961551157344. Its totient is φ = 36775627161600.

The previous prime is 151412168137913. The next prime is 151412168137927. The reversal of 151412168137920 is 29731861214151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151412168137913) and next prime (151412168137927).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (151412168137927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10856410 + ... + 20510630.

It is a 1-persistent number, because it is pandigital, but 2⋅151412168137920 = 302824336275840 is not.

Almost surely, 2^{151412168137920} is an apocalyptic number.

151412168137920 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 151412168137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262980775578672).

151412168137920 is an abundant number, since it is smaller than the sum of its proper divisors (374549383019424).

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

151412168137920 is a wasteful number, since it uses less digits than its factorization.

151412168137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654320 (or 9654279 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 151412168137920 in words is "one hundred fifty-one trillion, four hundred twelve billion, one hundred sixty-eight million, one hundred thirty-seven thousand, nine hundred twenty".