151878357120 has 512 divisors, whose sum is σ = 563860961280. Its totient is φ = 34056142848.

The previous prime is 151878357109. The next prime is 151878357121. The reversal of 151878357120 is 21753878151.

It is a super-2 number, since 2×151878357120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151878357120.

It is not an unprimeable number, because it can be changed into a prime (151878357121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277656687 + ... + 277657233.

It is an arithmetic number, because the mean of its divisors is an integer number (1101290940).

Almost surely, 2^151878357120 is an apocalyptic number.

151878357120 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 151878357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281930480640).

151878357120 is an abundant number, since it is smaller than the sum of its proper divisors (411982604160).

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

151878357120 is a wasteful number, since it uses less digits than its factorization.

151878357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 151878357120 in words is "one hundred fifty-one billion, eight hundred seventy-eight million, three hundred fifty-seven thousand, one hundred twenty".