151904471040 has 1728 divisors, whose sum is σ = 696364905600. Its totient is φ = 30958682112.

The previous prime is 151904471029. The next prime is 151904471051. The reversal of 151904471040 is 40174409151.

151904471040 is a `hidden beast` number, since 15 + 190 + 447 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151904471029) and next prime (151904471051).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151904470986 and 151904471004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7994972151 + ... + 7994972169.

It is an arithmetic number, because the mean of its divisors is an integer number (402988950).

Almost surely, 2^151904471040 is an apocalyptic number.

151904471040 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 151904471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348182452800).

151904471040 is an abundant number, since it is smaller than the sum of its proper divisors (544460434560).

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

151904471040 is an frugal number, since it uses more digits than its factorization.

151904471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 151904471040 in words is "one hundred fifty-one billion, nine hundred four million, four hundred seventy-one thousand, forty".