151086970440000 has 3780 divisors, whose sum is σ = 676553923943040. Its totient is φ = 33331979520000.

The previous prime is 151086970439941. The next prime is 151086970440013. The reversal of 151086970440000 is 44079680151.

151086970440000 is a `hidden beast` number, since 1 + 510 + 8 + 6 + 97 + 0 + 4 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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 539 ways as a sum of consecutive naturals, for example, 398646359811 + ... + 398646360189.

Almost surely, 2^{151086970440000} is an apocalyptic number.

151086970440000 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 151086970440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338276961971520).

151086970440000 is an abundant number, since it is smaller than the sum of its proper divisors (525466953503040).

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

151086970440000 is an frugal number, since it uses more digits than its factorization.

151086970440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 151086970440000 in words is "one hundred fifty-one trillion, eighty-six billion, nine hundred seventy million, four hundred forty thousand".