151521891840 has 1120 divisors, whose sum is σ = 608947444512. Its totient is φ = 36130406400.

The previous prime is 151521891827. The next prime is 151521891869. The reversal of 151521891840 is 48198125151.

151521891840 is a `hidden beast` number, since 1 + 5 + 1 + 521 + 89 + 1 + 8 + 40 = 666.

It is a super-4 number, since 4×151521891840⁴ (a number of 46 digits) contains 4444 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 111 ways as a sum of consecutive naturals, for example, 2483965410 + ... + 2483965470.

Almost surely, 2^151521891840 is an apocalyptic number.

151521891840 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 151521891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304473722256).

151521891840 is an abundant number, since it is smaller than the sum of its proper divisors (457425552672).

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

151521891840 is an frugal number, since it uses more digits than its factorization.

151521891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 151521891840 in words is "one hundred fifty-one billion, five hundred twenty-one million, eight hundred ninety-one thousand, eight hundred forty".