151412015526450 has 384 divisors, whose sum is σ = 452232710254080. Its totient is φ = 32797998489600.

The previous prime is 151412015526407. The next prime is 151412015526509. The reversal of 151412015526450 is 54625510214151.

151412015526450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976339516 + ... + 976494584.

It is an arithmetic number, because the mean of its divisors is an integer number (1177689349620).

Almost surely, 2^{151412015526450} is an apocalyptic number.

151412015526450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151412015526450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226116355127040).

151412015526450 is an abundant number, since it is smaller than the sum of its proper divisors (300820694727630).

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

151412015526450 is a wasteful number, since it uses less digits than its factorization.

151412015526450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155782 (or 155777 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 151412015526450 in words is "one hundred fifty-one trillion, four hundred twelve billion, fifteen million, five hundred twenty-six thousand, four hundred fifty".