151293898630380 has 384 divisors, whose sum is σ = 491363832960000. Its totient is φ = 34396558848000.

The previous prime is 151293898630327. The next prime is 151293898630393. The reversal of 151293898630380 is 83036898392151.

151293898630380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (66) 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 (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12347492334 + ... + 12347504586.

It is an arithmetic number, because the mean of its divisors is an integer number (1279593315000).

Almost surely, 2^{151293898630380} is an apocalyptic number.

151293898630380 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 151293898630380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245681916480000).

151293898630380 is an abundant number, since it is smaller than the sum of its proper divisors (340069934329620).

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

151293898630380 is a wasteful number, since it uses less digits than its factorization.

151293898630380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22145 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 151293898630380 in words is "one hundred fifty-one trillion, two hundred ninety-three billion, eight hundred ninety-eight million, six hundred thirty thousand, three hundred eighty".