151420349501190 has 2304 divisors, whose sum is σ = 559763720755200. Its totient is φ = 27960455577600.

The previous prime is 151420349501177. The next prime is 151420349501231. The reversal of 151420349501190 is 91105943024151.

151420349501190 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 20 + 34 + 9 + 501 + 1 + 90 = 666.

It is a super-2 number, since 2×151420349501190² (a number of 29 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 138536458284 + ... + 138536459376.

It is an arithmetic number, because the mean of its divisors is an integer number (242953003800).

Almost surely, 2^{151420349501190} is an apocalyptic number.

151420349501190 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 151420349501190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279881860377600).

151420349501190 is an abundant number, since it is smaller than the sum of its proper divisors (408343371254010).

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

151420349501190 is a wasteful number, since it uses less digits than its factorization.

151420349501190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 151420349501190 in words is "one hundred fifty-one trillion, four hundred twenty billion, three hundred forty-nine million, five hundred one thousand, one hundred ninety".