151993523247840 has 96 divisors (see below), whose sum is σ = 531977331382560. Its totient is φ = 40531606198272.

The previous prime is 151993523247823. The next prime is 151993523247859. The reversal of 151993523247840 is 48742325399151.

151993523247840 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 9 + 3 + 523 + 24 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×151993523247840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17591838649 + ... + 17591847288.

It is an arithmetic number, because the mean of its divisors is an integer number (5541430535235).

Almost surely, 2^{151993523247840} is an apocalyptic number.

151993523247840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151993523247840 is an abundant number, since it is smaller than the sum of its proper divisors (379983808134720).

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

151993523247840 is a wasteful number, since it uses less digits than its factorization.

151993523247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35183685961 (or 35183685947 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 151993523247840 in words is "one hundred fifty-one trillion, nine hundred ninety-three billion, five hundred twenty-three million, two hundred forty-seven thousand, eight hundred forty".